Answer:
3a. The polygon has 15 sides, so it is a pentadecagon or a 15-gon.
3b. Each interior angle measures 156°.
3c. The measure of an exterior angles is 24°
Step-by-step explanation:
3a
(n - 2)180 = 2340
n - 2 = 13
n = 15
The polygon has 15 sides, so it is a pentadecagon or a 15-gon.
3b
2340/15 = 156
Each interior angle measures 156°.
3c
There are 2 ways to calculate the measure of an exterior angle.
Method 1:
Each exterior angle is supplementary to its adjacent interior angle.
156 + x = 180
x = 24
Method 2:
The sum of the measures of the exterior angles of a polygon, 1 per vertex, is 360, no matter the number of sides.
360°/15 = 24°
The measure of an exterior angles is 24°
