Question

30. Each interior angle of a regular polygon is 4 times each exterior ang

(a) Find the size of each exterior angle of the polygon.
(b) Find the number of sides of the polygon.​

Answer 1

(a) the size of each exterior angle 360/10=36

(b) the number of sides of the polygon.​ 10

Explanation:

Each interior angle of a regular polygon is 4 times each exterior angle

∴sum of interior angles: (n-2)*180=4*360

n-2=8

n=10

(a) the size of each exterior angle 360/10=36

(b) the number of sides of the polygon.​ 10