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This triangle used in the game of pool is an equilateral triangle.

Level 3-4 Shapes - Angles

Angles are all around us. Learn to name, measure, and calculate angles, including straight lines, triangles, and at a point, using a protractor and angle facts.

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Fascinating Fact:

When you look up at a tall building, the angle between your line of sight and the ground is called the angle of elevation.

In KS3 Maths, you will classify, measure, and calculate angles. Use a protractor to read degrees, apply angle sums on straight lines and in triangles, and use facts around a point to find missing angles.

Key Terms

Acute angle: An angle less than 90°.
Obtuse angle: An angle between 90° and 180°.
Reflex angle: An angle between 180° and 360°.

Frequently Asked Questions (Click to see answers)

What are the main types of angles in KS3?

Acute is less than 90°, right angle is 90°, obtuse is between 90° and 180°, straight is 180°, reflex is between 180° and 360°, and a full turn is 360°.

How do you measure an angle with a protractor?

Place the protractor’s centre on the vertex and align the baseline with one arm. Start at 0 on the correct scale, then read the mark where the other arm crosses.

What angle facts help find missing angles?

Angles on a straight line add to 180°. Angles around a point add to 360°. Angles in a triangle add to 180°. Use these to calculate unknowns.

Try These Related Quizzes

1 .

An angle that is 90^o is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

These are found in squares and other rectangles

2 .

The three interior angles in a triangle add up to what?

90^o

180^o

270^o

360^o

An equilateral triangle has 3 interior angles each measuring 60 degrees each (3 x 60 = 180)

3 .

An angle that is between 90^o and 180^o is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Think of obtuse angles as 'blunt' and acute angles as 'sharp'

4 .

A circle is divided into a number of parts or degrees. How many are there?

90^o

180^o

270^o

360^o

The four interior angles of a quadrilateral also add up to 360^o

5 .

An angle that is between 0^o and 90^o is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Think of obtuse angles as 'blunt' and acute angles as 'sharp'

6 .

Two interior angles in a triangle are 35^o and 55^o. What is the 3^rd angle?

75^o

85^o

90^o

95^o

Take 35 and 55 from 180 to find the answer

7 .

Angles on a straight line add up to what?

90^o

180^o

270^o

360^o

A straight line is half a circle

8 .

The internal angles of a regular hexagon add up to 720^o. How many degrees is each one?

60^o

90^o

120^o

150^o

There are six internal angles in a hexagon. A regular hexagon has six equal angles

9 .

Each internal angle of a regular pentagon is 108^o. What is the total number of internal degrees?

180^o

360^o

540^o

720^o

Pentagons have 5 internal angles so just multiply 108^o x 5

10 .

An angle that is between 180^o and 360^o is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Every internal angle has a corresponding reflex angle. Together they add up to 360^o

You can find more about this topic by visiting BBC Bitesize - Angles

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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