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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

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

Oops n=12 exterior: 30 interior: 150 n=12 10(180) = 1800 dodecagon

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