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

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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(75887)   (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?
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The sum of the exterior angles is always 360 degrees
360/6= 60
So, there are 60 exterior angles; so there are 60 sides.
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#9. If the measure of each interior angle of a polygon is 165 degrees. then how many interior angles would you have?
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If the interior angle is 165 the corresponding exterior angle is 180-165=15
360/15 = 24
There are 24 interior angles.
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Cheers,
stan H.

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