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30 March, 07:31

Find the size of each interior angle of a regular polygon of 15 sides.

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  1. 30 March, 09:09
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    156°

    Explanation:

    Each triangle has an angle sum of 180 degrees.

    The sum of the interior angles of the 15 sided polygon =

    (n-2) 180°

    (n-2) 180°

    (15-2) * 180°

    13 * 180 = 2340 °

    Since the 15 sided polygon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of

    2340° : 15 = 156 °each
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