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Exterior Angles of Regular Polygons

In this worksheet, students calculate the exterior angle of regular polygons.

'Exterior Angles of Regular Polygons' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  2D Shapes: Circles, Angles and Bearings

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Regular polygons have exterior angles which are all equal to each other.

Moreover they always add up to 360º.

To work out the size of each exterior angle of a regular polygon, we simply divide 360º by the number of angles.

The number of angles is equal to the number of sides.

 

Example

Work out the exterior angle of a regular hexagon.

 

Answer

The hexagon has 6 exterior angles as shown below.

 

 

 

They add to 360º.

 

Each exterior angle is 360º ÷ 6 = 60º

Work out the exterior angle of a regular pentagon.

(just write the number)

 

 

Work out the exterior angle of a square.

(just write the number)

Work out the exterior angle of a regular hexagon.

(just write the number)

 

 

Work out the exterior angle of a regular octagon.

(just write the number)

 

Work out the exterior angle of a regular nonagon.

(just write the number)

Work out the exterior angle of a regular decagon.

(just write the number)

 

 

Work out the exterior angle of a regular 12-sided polygon.

(just write the number)

 

 

Work out the exterior angle of a regular 15-sided polygon.

(just write the number)

 

 

Work out the exterior angle of a regular 18-sided polygon.

(just write the number)

 

 

Work out the exterior angle of a regular heptagon to the nearest whole degree.

(just write the number)

 

 

  • Question 1

Work out the exterior angle of a regular pentagon.

(just write the number)

 

 

CORRECT ANSWER
72
  • Question 2

Work out the exterior angle of a square.

(just write the number)

CORRECT ANSWER
90
  • Question 3

Work out the exterior angle of a regular hexagon.

(just write the number)

 

 

CORRECT ANSWER
60
  • Question 4

Work out the exterior angle of a regular octagon.

(just write the number)

 

CORRECT ANSWER
45
  • Question 5

Work out the exterior angle of a regular nonagon.

(just write the number)

CORRECT ANSWER
40
  • Question 6

Work out the exterior angle of a regular decagon.

(just write the number)

 

 

CORRECT ANSWER
36
  • Question 7

Work out the exterior angle of a regular 12-sided polygon.

(just write the number)

 

 

CORRECT ANSWER
30
  • Question 8

Work out the exterior angle of a regular 15-sided polygon.

(just write the number)

 

 

CORRECT ANSWER
24
  • Question 9

Work out the exterior angle of a regular 18-sided polygon.

(just write the number)

 

 

CORRECT ANSWER
20
  • Question 10

Work out the exterior angle of a regular heptagon to the nearest whole degree.

(just write the number)

 

 

CORRECT ANSWER
51
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