Geometry and measuresKey Stage 3

Exterior angles of a regular polygon

Use polygon angle facts to find missing values.

  • All exterior angles of a regular polygon are equal.
  • One exterior angle is .

Example 1

Find angle in this regular 5-sided polygon.

The equal exterior angles share a total of 360°.

Example 2

Find angle in this regular 6-sided polygon.

The equal exterior angles share a total of 360°.

Your turn

Question 1

Find angle in this regular 8-sided polygon.

Check answer
The equal exterior angles share a total of 360°.
Question 2

Find angle in this regular 9-sided polygon.

Check answer
The equal exterior angles share a total of 360°.
Question 3

Find angle in this regular 10-sided polygon.

Check answer
The equal exterior angles share a total of 360°.
Question 4

Find angle in this regular 12-sided polygon.

Check answer
The equal exterior angles share a total of 360°.
Question 5

Find angle in this regular 5-sided polygon.

Check answer
The equal exterior angles share a total of 360°.
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