2. An exterior angle and the interior angle of a regular polygon are in the ratio 2:7. Find the number of sides in the polygon? please help iwiil make you brainliest
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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 and each exterior angle=40
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