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The measure of an exterior angle of a regular polygon is x, find the measure of one interior angle then find the number of sides

basically like 180 - x =
and then 180 ( n - 2 ) / n = 180 - x
all I need is to know what 180 - x is- if not I need to know what n is so I can solve the rest
Thankssssssss

User Dems
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2 Answers

4 votes

Answer - was dis for free points? lel

User Axnyff
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6 votes

Answer:

The polygon has 9sides with an interior angle measure of 140°

The exterior angle of a regular polygon=360°/n

40°=360°/n

n=360°/40°=9

So the polygon has 9 sides thus, a nonagon.

The measure of the interior angle=(n-2)180°/n

=(9-2)×180°/9=140°

Explanation:

Have A Wonderful Day !!

User Kapsonfire
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