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How many sides does a regular polygon have if each of its interior angle is 165°

User Dann
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1 Answer

29 votes
29 votes

Answer:

24 sides

Explanation:

exterior angle + interior angle = 180°

exterior angle + 165° = 180° ( subtract 165° from both sides )

exterior angle = 15°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular each of the exterior angles are congruent

number of sides = 360° ÷ 15° = 24

User Muhabutti
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