In an equilateral polygon, the measure of each exterior is 25% of the measure of each interior angle.?

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exterior angle measure + interior angle measure = 180 {linear pair}

Then if x is interior angle measure, then .25x + x = 180

5/4 x = 180

x = 36*4 = 144 degrees

To check, the exterior must be 144/4 = 36, and 144+36 = 180

So interoir is 144 and exterior is 36...Show more