AI generatedGeometry and measuresKS3 / GCSE

Number of sides from an interior angle

Number of sides from an interior angle.

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

Example 1

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

Interior and adjacent exterior angles total 180°.Equal exterior angles make one full turn of 360°.

Example 2

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

Interior and adjacent exterior angles total 180°.Equal exterior angles make one full turn of 360°.

Your turn

Question 1

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

Check answer
Interior and adjacent exterior angles total 180°.Equal exterior angles make one full turn of 360°.
Question 2

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

Check answer
Interior and adjacent exterior angles total 180°.Equal exterior angles make one full turn of 360°.
Question 3

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

Check answer
Interior and adjacent exterior angles total 180°.Equal exterior angles make one full turn of 360°.
Question 4

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

Check answer
Interior and adjacent exterior angles total 180°.Equal exterior angles make one full turn of 360°.
Question 5

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

Check answer
Interior and adjacent exterior angles total 180°.Equal exterior angles make one full turn of 360°.
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