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Serhud [2]
2 years ago
13

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

Mathematics
1 answer:
wolverine [178]2 years ago
5 0

Answer:

8 sides

Step-by-step 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

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