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19 December, 06:00

An exterior angle of a regular polygon is 72°.

(i) what is the size of each interior angle of the polygon?

(ii) Find the number of sides of the polygon.

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Answers (2)
  1. 19 December, 08:09
    0
    The answer is 5

    ...
  2. 19 December, 08:27
    0
    Exterior angle = 72⁰

    As polygon is regular, each interior angle = 180⁰ - 72⁰ = 108⁰

    Number of sides:

    As the sum of exterior angles is 360⁰:

    n * 72⁰ = 360⁰

    n = 360/72 = 5
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