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
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
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
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.