Question

In a regular polygon the exterior angle is 8 times of its interior angle find
(a) exterior angle
(b) Interior angle.
(c) no of sides.​

Answer 1

interior angle = x

exterior angle = 8x

sum = x + 8x = 180

9x=180

therefore x=20 degree

INTERIOR ANGLE=20 DEGREE

EXTERIOR ANGLE=160 DEGREE

NO. OF SIDES =2(1+8)=2(9)=18