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22 June, 18:02

The size of each interior angle of a regular polygon is 8 times the size of

each exterior angle.

Work out how many sides the polygon has.

Let the size of each exterior angle be x degrees in your working.

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Answers (1)
  1. 22 June, 18:22
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    the polygon has 18 sides

    Step-by-step explanation:

    Exterior angle = x Interior angle = 180 - x

    180 - x = 8x

    9x = 180

    x = 20

    interior angle = 180 - 20 = 160

    side of polygon = n

    160n = 180 (n - 2)

    160n = 180n - 360

    20n = 360

    n = 18
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