Respuesta :

delancygenius
  • Here each triangle has has 180°

  • so the sum of the interior angles of the 15 sided polygon must be 13 × 180 = 2340° .

  • 15-gon is regular, this total is shared equally among the 15 interior angles.

  • Each interior angle must have a measure of 2340 ÷ 15 = 156 °

Ans:- [tex]\red{\bold{\boxed{156 \degree}}}[/tex]

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Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15, thus

sum = 180° × 13 = 2340°

Divide the sum by the number of sides for each interior angle, that is

interior angle = 2340° ÷ 15 = 156°

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