Question

Exterior angle of polygon ia 1/3 of its interior angle . How many sides does the polygon have

Answer 1

Answer:

let the interior angle be X

exterior angle be X/3

A/q;

X+X/3=180 (linear pair)

4x/3=180

4x=180×3=540

so,X=540/4=135

so, exterior angle=135/3=45

so, no. of sides of polygon= 360/measure exterior angle

so,no. of sides of polygon =360/45=8

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