Question

What is the interior angle sum of a 15-gon?

Answer 1

Answer: 2340

Explanation:

Use the formula below with n = 15

S = 180*(n-2)

S = 180*(15-2) ... replace n with 15

S = 180*13

S = 2340

This formula is based on the idea that a triangle's interior angles add up to 180, and the idea you can partition any polygon into triangles (aka "polygon triangulation")

Answer 2

Answer: 720°

Explanation:

Use the formula for the Sum of interior angles: I = 180(n - 2) , where n is the number of sides/angles.

I = 180(15 - 2)

= 180(13)

= 720