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CBSE Class 8 Answered

How many sides a regular polygon with each interior angle 135° has?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

  Each interior angle = 135° 

As interior angle and exterior angle form a linear pair.

Each exterior angle = 180° - 135° = 45°

Sum of all exterior angles = 360°

Let n be the number of exterior angles

n× 45° = 360°

Number of exterior angles, (n)= = 8

Thus, the polygon has 8 sides.

Answered by | 04 Jun, 2014, 03:23: PM
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