Geometry and measuresKey Stage 3

Exterior angles of an irregular polygon

Use polygon angle facts to find missing values.

  • The exterior angles still add to .
  • Subtract the known exterior angles from a complete turn.

Example 1

Find angle .

The exterior angles add to 360°, even when the polygon is irregular.
The exterior angles add to 360°, even when the polygon is irregular.

Example 2

Find angle .

The exterior angles add to 360°, even when the polygon is irregular.
The exterior angles add to 360°, even when the polygon is irregular.

Your turn

Question 1

Find angle .

Check answer
The exterior angles add to 360°, even when the polygon is irregular.
The exterior angles add to 360°, even when the polygon is irregular.
Question 2

Find angle .

Check answer
The exterior angles add to 360°, even when the polygon is irregular.
The exterior angles add to 360°, even when the polygon is irregular.
Question 3

Find angle .

Check answer
The exterior angles add to 360°, even when the polygon is irregular.
The exterior angles add to 360°, even when the polygon is irregular.
Question 4

Find angle .

Check answer
The exterior angles add to 360°, even when the polygon is irregular.
The exterior angles add to 360°, even when the polygon is irregular.
Question 5

Find angle .

Check answer
The exterior angles add to 360°, even when the polygon is irregular.
The exterior angles add to 360°, even when the polygon is irregular.
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