Question

In a regular polygon the interior angle is thrice the exterior angle. The number of sides of the polygon is.

Answer 1

8

Explanation:

Measure of one interior angle of a regular polygon of n sides:

(n - 2)180/n

Measure of one exterior angle of a regular polygon if n sides:

360/n

"the interior angle is thrice the exterior angle"

(n - 2)180/n = 3 * 360/n

(n - 2)180 = 3 * 360

n - 2 = 3 * 2

n = 8

The number of sides is 8.