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  • 02-06-2020
  • Mathematics
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Find the size of each interior angle of a regular polygon of 15 sides.

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Аноним Аноним
  • 02-06-2020

Answer :

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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