Question

Find the measure of each exterior angle of a a regular polygon of of a 8 side and B 10 side

Answer 1

Answer:

(A) 135°

(B) 144°

Step-by-step explanation:

(A) let the side of a regular polygon with 8 sides = x

Sum of a polygon = 360°

therefore,

x+x+x+x+x+x+x+x = 360°

or, 8x = 360°

or, x = 360/8

or, x = 45°

let the exterior angle of polygon be y

x+y = 180°. ( linear pair)

45 + y = 180°

y = 135°

therefore, exterior angle is 135°

(B) Similarly,

10x = 360°

x = 36°

x+y = 180°. ( linear pair)

or, y = 144°

therefore, exterior angle is 144°

hope it's helpful