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One interior angle of a regular polygon is 175 degrees. What is the measure of one exterior angle?​

Sagot :

The exterior angle of the regular polygon is: 5°

What is an Interior Angle of a Regular Polygon?

Each interior angle of a regular polygon = (n - 2)180/n

Given:

interior angle = 175°

Thus:

175 = (n - 2)180/n

175n = 180n - 360

175n - 180n = -360

-5n = -360

n = 72

Thus,

Measure of one exterior angle = 360/72 = 5°

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