# 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

2 months ago

## Solution 1

Guest #5492403
2 months ago

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°

Step-by-step explanation:

Have A Wonderful Day !!

Guest #5492404
2 months ago

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