Question

What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72°?
A. 1080°
B. 540°
C. 900°
D. 180°
E. 360°
F. 720​

Answer 1

Answer:

B, 540 Degrees.

Step-by-step explanation:

If each exterior angle equals 72, then we know that the polygon has 5 sides, as the sum of the exterior angles of a polygon equals 360.

We also know that the interior angle is 108, and the exterior angle + the interior angle = 180.

Now, 108 * 5 = 540, meaning that the sum of the interior angles is 540 degrees.