# SOLUTION: #8. If the measure of each oexterior angle f a polygon is 6 degrees. Then how many sides will you have? #9. If the measure of each interior angle of a polygon is 165 degrees. th

Algebra ->  Algebra  -> Polygons -> SOLUTION: #8. If the measure of each oexterior angle f a polygon is 6 degrees. Then how many sides will you have? #9. If the measure of each interior angle of a polygon is 165 degrees. th      Log On

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 Question 89193: #8. If the measure of each oexterior angle f a polygon is 6 degrees. Then how many sides will you have? #9. If the measure of each interior angle of a polygon is 165 degrees. then how many interior angles would you have? I would just like to know the formula for these 2 problems. Thank You.Answer by stanbon(57940)   (Show Source): You can put this solution on YOUR website!#8. If the measure of each oexterior angle f a polygon is 6 degrees. Then how many sides will you have? ----- The sum of the exterior angles is always 360 degrees 360/6= 60 So, there are 60 exterior angles; so there are 60 sides. ---------------------------------- #9. If the measure of each interior angle of a polygon is 165 degrees. then how many interior angles would you have? ------- If the interior angle is 165 the corresponding exterior angle is 180-165=15 360/15 = 24 There are 24 interior angles. ================ Cheers, stan H.