Question

enter answers using commas, if appropriate.

what is the sum of the measures of the interior angles of a 15-gon?

what is the measure of one interior angle of a regular 15-gon?

what is the sum of the exterior angles?

what is the measure of one exterior angle of a regular 15-gon?

Explanation:

Identify the given parameters

$$ n = 15 $$

Apply the Polygon Angle Sum Theorem

$$ S = (n - 2) \times 180^\circ $$

$$ S = (15 - 2) \times 180^\circ $$

$$ S = 13 \times 180^\circ $$

Calculate the final sum

$$ S = 2340^\circ $$

Answer:

What is the sum of the measures of the interior angles of a 15-gon? <blank>2,340</blank>\(^\circ\)