Q10 of 59 Page 195

Measurement of each exterior angle of a regular polygon is 135°. Let’s us write the number of sides of the polygon.

Given:

Measurement of each exterior angle = 135°


Sum of all exterior angles of a regular polygon of n sides = 360°


Number of sides = 360 / 135


= 2.667


Since the number of sides is not a whole number, it is not possible to have regular polygon with a measure of each exterior angle of 135°.


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