Question

an exterior angle and the interior angle of a regular polygon are in the ratio 2:7 . find the number of sides of the polygon

Answer 1

Step-by-step explanation:

Let the number of sides of triangle be n

Then measure of each interior angle =

n

(n−2)×180

Measure of each exterior angle = 180−

n

(n−2)×180

=

n

360

According to question , ratio of exterior angle to interior angle = 2:7

So , solving we get n=9

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