Each interior angle of a regular polygon is 171 degrees. How many sides does this polygon have?
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Answer:
Use the exterior angle to find there are
40 sides.
Explanation:
The interior angle and the exterior angle of a polygon are adjacent supplementary angles. This means that they add to 180°
Each exterior angle = 180° - 171° = 9°
The sum of the exterior angles of any polygon is
360°
Number of sides = 360° / exterior angle
Number of sides = 360°/ 9°
=40
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