Posted by **jodi** on Tuesday, April 24, 2012 at 6:57pm.

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

- geometry -
**Steve**, Wednesday, April 25, 2012 at 10:25am
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

- geometry - PS -
**Steve**, Wednesday, April 25, 2012 at 10:27am
Oops

n=12

exterior: 30

interior: 150

n=12

10(180) = 1800

dodecagon

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