PM Review — Lines and Angles

Question 1 Difficulty 1

Riya and her mother are decorating their home for Diwali. Riya wants to draw a triangle on the wall. How many angles does a triangle have?

A 2
B 3
C 4
D 5

💡 Explanation A triangle has three angles, one at each corner.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 2 Difficulty 1

During the kite festival, Rahul is excited about flying his new kite. He learns that the angle between the string and the ground is important. What type of angle is formed if the string is straight up?

A Acute angle
B Right angle
C Obtuse angle
D Straight angle

💡 Explanation A straight up string forms a straight angle, which is 180 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 3 Difficulty 1

At school, Sneha is helping her teacher arrange desks in a rectangular shape. What is the measure of each angle in a rectangle?

A 45 degrees
B 90 degrees
C 60 degrees
D 120 degrees

💡 Explanation Each angle in a rectangle measures 90 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 4 Difficulty 1

In the park, Arjun is building a sandcastle with triangular flags. He wants to create an equilateral triangle. What will be the measure of each angle in this triangle?

A 30 degrees
B 60 degrees
C 90 degrees
D 120 degrees

💡 Explanation In an equilateral triangle, all angles measure 60 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 5 Difficulty 1

Neha is making rangoli designs at home. She wants to create a square pattern. How many right angles does a square have?

A 2
B 3
C 4
D 5

💡 Explanation A square has four right angles, each measuring 90 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 6 Difficulty 1

During a family gathering, Vikram is asked to set the table in a circular shape. How many angles are there in a circle?

A 0
B 1
C 360
D Infinite

💡 Explanation A circle has no angles; it is a continuous curve.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 7 Difficulty 1

In the classroom, Lata is learning about angles. She wants to know what type of angle is less than 90 degrees. What is it called?

A Right angle
B Acute angle
C Obtuse angle
D Straight angle

💡 Explanation An angle that is less than 90 degrees is called an acute angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 8 Difficulty 1

At the Diwali fair, Ajay is helping his father sell sweets. He notices the angle between two stalls. If the angle is more than 90 degrees but less than 180 degrees, what type of angle is it?

A Acute angle
B Right angle
C Obtuse angle
D Straight angle

💡 Explanation An angle that is more than 90 degrees but less than 180 degrees is an obtuse angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 9 Difficulty 1

While playing football in the field, Priya notices the angle at which the ball is kicked. If the angle is exactly 90 degrees, what type of angle is it?

A Acute angle
B Right angle
C Obtuse angle
D Straight angle

💡 Explanation An angle that measures exactly 90 degrees is called a right angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 10 Difficulty 1

In a drawing competition, Sita wants to draw a shape with four equal sides and equal angles. What shape should she draw?

A Rectangle
B Triangle
C Square
D Parallelogram

💡 Explanation A shape with four equal sides and equal angles is a square.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 11 Difficulty 2

During a community event, Ravi is asked to help with the decorations. He needs to create a pattern using triangles. If he makes an isosceles triangle with one angle measuring 40 degrees, what will be the measure of the other two angles?

A 70 degrees each
B 80 degrees each
C 60 degrees each
D 50 degrees each

💡 Explanation In an isosceles triangle, the other two angles will be equal. Therefore, each will measure 70 degrees, making the total 180 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 12 Difficulty 2

Maya is helping her appa paint their house. They need to create a right-angled triangle for a design. If one angle is 90 degrees and another is 30 degrees, what is the measure of the third angle?

A 30 degrees
B 60 degrees
C 90 degrees
D 120 degrees

💡 Explanation The sum of angles in a triangle is 180 degrees. If one angle is 90 degrees and another is 30 degrees, the third angle is 60 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 13 Difficulty 2

While organizing a cricket match, the coach needs to determine the angle at which to place the wickets. If the angle between the two batters is 120 degrees, what type of angle is this?

A Acute angle
B Right angle
C Obtuse angle
D Straight angle

💡 Explanation An angle that measures more than 90 degrees but less than 180 degrees is called an obtuse angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 14 Difficulty 2

In a local temple, a group of children is making rangoli. If they draw a semicircle, what is the measure of the angle at the center of the circle?

A 90 degrees
B 180 degrees
C 360 degrees
D 270 degrees

💡 Explanation A semicircle represents half of a circle, so the angle at the center measures 180 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 15 Difficulty 2

During the school science fair, Amit is presenting a project on angles. If he demonstrates an angle that is exactly 360 degrees, what shape does it represent?

A Triangle
B Circle
C Square
D Rectangle

💡 Explanation An angle of 360 degrees represents a complete circle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 16 Difficulty 2

At a wedding, Nisha is helping to arrange the seating. She needs to make sure that the table angles are correct. If the angles are all right angles, what shape is the table arrangement?

A Circle
B Triangle
C Square
D Hexagon

💡 Explanation If all angles are right angles, the shape is a square.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 17 Difficulty 2

In the market, Sanjay sees a vendor selling kites with different angles. If one kite has an angle measuring 75 degrees, what type of angle is it?

A Acute angle
B Right angle
C Obtuse angle
D Straight angle

💡 Explanation An angle that measures less than 90 degrees is called an acute angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 18 Difficulty 2

During a family trip, Pooja is helping her dad read a map. If they need to travel at an angle of 135 degrees, what type of angle is this?

A Acute angle
B Right angle
C Obtuse angle
D Straight angle

💡 Explanation An angle that measures more than 90 degrees but less than 180 degrees is an obtuse angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 19 Difficulty 2

While preparing for a dance performance, Rohan needs to create a formation that includes right angles. How many right angles will there be in a rectangle?

A 2
B 3
C 4
D 5

💡 Explanation A rectangle has four right angles.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 20 Difficulty 2

In a geometry class, Suresh is drawing a triangle with angles measuring 50 degrees and 60 degrees. What is the measure of the third angle?

A 50 degrees
B 70 degrees
C 80 degrees
D 90 degrees

💡 Explanation The sum of angles in a triangle is always 180 degrees. Therefore, the third angle is 70 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 21 Difficulty 3

At the Diwali festival, Aarti is helping her mother with decorations using patterns. If she makes a triangle where one angle is 80 degrees, what can be the measures of the other two angles?

A 50 degrees, 50 degrees
B 30 degrees, 70 degrees
C 80 degrees, 20 degrees
D 60 degrees, 40 degrees

💡 Explanation The sum of angles in a triangle is 180 degrees. If one angle is 80 degrees, the other two angles must be 60 and 40 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 22 Difficulty 3

In a debate competition, Sameer needs to present on angles. If he states that an angle of 270 degrees is what type of angle, what should he say?

A Acute angle
B Right angle
C Obtuse angle
D Reflex angle

💡 Explanation An angle that measures more than 180 degrees but less than 360 degrees is called a reflex angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 23 Difficulty 3

During a group project at school, Neel is assigned to create a poster about different angles. If he illustrates an obtuse angle, what should the measurement be?

A 30 degrees
B 90 degrees
C 150 degrees
D 180 degrees

💡 Explanation An obtuse angle measures more than 90 degrees but less than 180 degrees. 150 degrees is an example.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 24 Difficulty 3

At the temple festival, Priyanka needs to create a pattern using circles. If she draws a circle with a radius of 10 cm, what is the angle subtended at the center by the entire circle?

A 180 degrees
B 360 degrees
C 90 degrees
D 270 degrees

💡 Explanation The angle subtended at the center of a full circle is always 360 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 25 Difficulty 3

In a competitive exam, Vikrant is asked to identify the type of angles formed when two parallel lines are cut by a transversal. What type of angles are formed?

A Alternate angles
B Corresponding angles
C Both A and B
D None of the above

💡 Explanation When two parallel lines are cut by a transversal, both alternate angles and corresponding angles are formed.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 26 Difficulty 3

While planning the layout for a cricket ground, Arav needs to ensure that the corners are right angles. What is the measure of each angle in the layout?

A 60 degrees
B 75 degrees
C 90 degrees
D 120 degrees

💡 Explanation Each corner or angle in a layout with right angles measures 90 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 27 Difficulty 3

During the science project, Riya needs to calculate the angles in a triangle. If the angles are 45 degrees and 55 degrees, what is the measure of the third angle?

A 70 degrees
B 80 degrees
C 90 degrees
D 100 degrees

💡 Explanation The sum of angles in a triangle is 180 degrees. Therefore, the third angle is 80 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 28 Difficulty 3

In the local market, Priya sees a vendor selling kites with various angles. If one kite's angle is 95 degrees, what type of angle is it?

A Acute angle
B Right angle
C Obtuse angle
D Straight angle

💡 Explanation An angle that measures more than 90 degrees but less than 180 degrees is called an obtuse angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 29 Difficulty 3

During a family picnic, Ramesh takes a photo of the group with a triangular backdrop. If the backdrop has angles measuring 70 degrees and 70 degrees, what is the measure of the third angle?

A 40 degrees
B 50 degrees
C 60 degrees
D 80 degrees

💡 Explanation The sum of angles in a triangle is 180 degrees. If two angles are each 70 degrees, the third angle must be 40 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 30 Difficulty 3

In a neighborhood project, Anjali needs to create a design with two intersecting lines. If the angles formed are 80 degrees and x, what is the value of x?

A 100 degrees
B 90 degrees
C 80 degrees
D 180 degrees

💡 Explanation If two angles are formed by intersecting lines and one is 80 degrees, the other angle must be 100 degrees, since they are supplementary.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 31 Difficulty 4

During a mathematics competition, Riya needs to calculate the measure of an angle formed by two intersecting lines with one angle measuring 120 degrees. What is the measure of the adjacent angle?

A 60 degrees
B 90 degrees
C 120 degrees
D 180 degrees

💡 Explanation Adjacent angles formed by intersecting lines sum up to 180 degrees. Therefore, the adjacent angle is 60 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 32 Difficulty 4

In a geometry class, Sameer is given a task to find the missing angle in a triangle where two angles measure 45 degrees and 85 degrees. What is the measure of the third angle?

A 40 degrees
B 50 degrees
C 60 degrees
D 80 degrees

💡 Explanation The sum of angles in a triangle is 180 degrees. Therefore, the missing angle is 40 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 33 Difficulty 4

During a group project, Vikrant needs to create a design using a parallelogram. If one angle is 70 degrees, what are the measures of the other three angles?

A 70, 110, 70 degrees
B 70, 110, 110 degrees
C 70, 70, 110 degrees
D 110, 70, 110 degrees

💡 Explanation In a parallelogram, opposite angles are equal. If one angle is 70 degrees, the opposite angle will also be 70 degrees, and the other two angles will each be 110 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 34 Difficulty 4

At a Diwali gathering, Aarti needs to ensure that the angles in her rangoli design are correct. If she uses a protractor and measures one angle as 135 degrees, what type of angle is it?

A Acute angle
B Right angle
C Obtuse angle
D Reflex angle

💡 Explanation An angle that measures more than 90 degrees but less than 180 degrees is called an obtuse angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 35 Difficulty 4

During a school project, Neel needs to calculate the angles in a quadrilateral. If he knows three angles measure 80 degrees, 70 degrees, and 50 degrees, what is the measure of the fourth angle?

A 40 degrees
B 60 degrees
C 70 degrees
D 80 degrees

💡 Explanation The sum of all angles in a quadrilateral is 360 degrees. So, the fourth angle is 360 - (80 + 70 + 50) = 160 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 36 Difficulty 4

At the local market, Priyanka needs to determine the type of angle formed by two intersecting lines. If one angle measures 45 degrees, what can she conclude about the other angle formed?

A It must be acute
B It must be obtuse
C It must be right
D It can be any angle

💡 Explanation If one angle is 45 degrees, then the adjacent angle must also be acute since it must complement the already existing angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 37 Difficulty 4

During a festival, Rohan is asked to design a rangoli with a quadrilateral shape. If two opposite angles are equal and one measures 120 degrees, what must the other opposite angle measure?

A 120 degrees
B 60 degrees
C 90 degrees
D 150 degrees

💡 Explanation In a quadrilateral, opposite angles are equal. Therefore, if one angle measures 120 degrees, the opposite angle must also measure 120 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 38 Difficulty 4

In a geometry exam, Aditi needs to calculate the missing angle in a polygon. If she has a pentagon and knows four angles measure 100 degrees, 110 degrees, 120 degrees, and 130 degrees, what is the measure of the fifth angle?

A 150 degrees
B 160 degrees
C 170 degrees
D 180 degrees

💡 Explanation The sum of the interior angles of a pentagon is 540 degrees. Therefore, the fifth angle is 540 - (100 + 110 + 120 + 130) = 80 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 39 Difficulty 4

During a cultural event, Sameer is asked to create a design using a hexagon. If one of the angles measures 120 degrees, what are the measures of the other five angles?

A All 120 degrees
B All 108 degrees
C Mixed angles
D All 90 degrees

💡 Explanation In a regular hexagon, each interior angle measures 120 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 40 Difficulty 4

At a community center, Priya is asked to identify the types of angles formed by two intersecting lines. If one angle measures 150 degrees, what is the corresponding angle?

A 30 degrees
B 150 degrees
C 120 degrees
D 90 degrees

💡 Explanation The corresponding angle to 150 degrees, formed by two intersecting lines, measures 30 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?