1.

How many sides in a regular polygon has if each of its interior angle is 135 degree

Answer»

INTERIOR angle + exterior angle = 180º


FInd exterior angle:

135 + exterior angle = 180

exterior angle = 180 - 135

exterior angle = 45º


Find the number of sides:

Sum of all exterior ANGLES = 360º

Number of sides = 360 ÷ 45 = 8 sides


Answer: It is a 8-sided polygon



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