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31 March, 17:08

Find the measure of an exterior angle of a regular polygon with 20 sides. Round to the nearest tenth?

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Answers (2)
  1. 31 March, 17:58
    0
    Exterior angles always add up to 360°

    Given that there are 20 sides sides

    ⇒ 1 exterior angle = 360 : 20 = 18°

    Answer: 18°
  2. 31 March, 19:53
    0
    To find the interior angle, you use the formula ((n - 2) x 180) / n (where n is the number of sides).

    So, ((20 - 2) x 180) / 20 = 162

    To find the exterior angle, you merely take away the interior angle from 180.

    180 - 162 = 18, so the exterior angle is 18 degrees

    Another, easier, way is to just divide 360 by n. All exterior angles always add to 360. Thus, 360 / 20 = 18 degrees
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