AI generatedGeometry and measuresKS3 / GCSE

Number of sides from an exterior angle

Number of sides from an exterior angle.

  • Equal exterior angles of a regular polygon total 360°.
  • Interior + adjacent exterior = 180°.
  • Number of sides = 360 ÷ exterior angle.

Example 1

Each exterior angle of a regular polygon is . Find the number of sides.

Equal exterior angles make one full turn of 360°.

Example 2

Each exterior angle of a regular polygon is . Find the number of sides.

Equal exterior angles make one full turn of 360°.

Your turn

Question 1

Each exterior angle of a regular polygon is . Find the number of sides.

Check answer
Equal exterior angles make one full turn of 360°.
Question 2

Each exterior angle of a regular polygon is . Find the number of sides.

Check answer
Equal exterior angles make one full turn of 360°.
Question 3

Each exterior angle of a regular polygon is . Find the number of sides.

Check answer
Equal exterior angles make one full turn of 360°.
Question 4

Each exterior angle of a regular polygon is . Find the number of sides.

Check answer
Equal exterior angles make one full turn of 360°.
Question 5

Each exterior angle of a regular polygon is . Find the number of sides.

Check answer
Equal exterior angles make one full turn of 360°.