Question

if the sum of interior angles of a regular polygon is 12 times the exterior angle, then each of the interior angle is equal to

Answer 1

Answer:

166º

Step-by-step explanation:

Sum of exterior angles = 360º

Find the sum of the interior angles:

Interior angles is 12 times the exterior angles

Interior angles = 12 x 360 = 4320º

Find the number of sides of the polygon:

Sum of interior angles = (n - 2) x 180

Sum of interior angles = 4320º

(n - 2) x 180 = 4320

n - 2 = 24

n = 26

Find each of the interior angle:

26 interior angles = 4320

1 interior angles = 4320 ÷ 26 = 166º

Answer: Each interior angle is 166º