1. How many sides does a regular polygon have if each of its interior
angles is 165°?
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Answer:
24 sides
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The interior and exterior angles = 180 degree
each interior angles = 165 degree
180 degree - 165 degree
15 degree(measure of an exact angle)
The sum of the exterior angle of any convex polygon = 360 degree
360 degree - 15 degree = 24 degree
therefore there are 24 sides of this regular polygon.
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