Question

If the ratio of the interior angle to the exterior angle is 5:1 for a regular polygon, find
a. the size of each exterior angle
b. the number of sides of the polygon
c. the sum of the interior angles
d. Name the polygon

Answers

Steve
interior: (n-2)180/n
exterior: 360/n

(n-2)180/n ÷ 360/n = (n-2)/2 = 5
n = 8

a:
exterior: 45
interior: 135

b: n=8

c: 6(180) = 1080

d: octagon
Steve
Oops
n=12

exterior: 30
interior: 150

n=12

10(180) = 1800

dodecagon
Anonymous
The ratio of interior and exterior angle of regular polygon is is 5:1, find the number of diagonals of the regular polygon.

Related Questions