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Find the number of sides of a regular polygon whose each interior angle is of 135 degrees

User Liggliluff
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1 Answer

17 votes
17 votes

Answer:

8 sides

Explanation:

exterior angle + interior angle = 180° , that is

exterior angle + 135° = 180° ( subtract 135° from both sides )

exterior angle = 45°

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

since the polygon is regular then number of sides n is

n = 360° ÷ 45÷ = 8

User Michael Shimmins
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