Question

the sum of interior angles of a regular polygon is equal to five times the sum of its exterior angles.find the measure of each of its interior angle​

Answer 1

Answer:

12

Step-by-step explanation:

The sum of the exterior angles is ALWAYS 360 degrees.

So, sum of the interior angles is 5*360 = 1800 degrees.

Let n be the number of sides:

 

Equation:

(n-2)180 = 1800

n-2 = 10

n = 12 sides