Question

If each interior angle of a regular polygon is 135 degrees, then number of side of this polygon is

A 6 Correct Answer Incorrect Answer
B 12 Correct Answer Incorrect Answer
C 18 Correct Answer Incorrect Answer
D 8 Correct Answer Incorrect Answer

Solution

Let each ineterior angle of the regualr polygon of N sides is I & each exterior angle of the same polygon is E So now as we know I + E = 180 or 135 + E = 180 or E = 45 = 360/N So N = 360/45 = 8

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