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Four angles of a pentagon have measures of 85°, 90°, 95°, and 110°. The smallest of all the exterior angles measures is

User Joemfb
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1 Answer

4 votes

Answer:

20°

Explanation:

A pentagon's interior has a total of 540°. So, you must figure out the fifth angle.

Use the equation:

540°-85°-90°-95°-110°= fifth interior angle

You should get that the fifth interior angle equals 160°.

The largest interior angle will have the smallest exterior angle. In this case, it is the fifth interior angle, 160°.

An exterior angle added to its interior angle equals 180°.

So use the equation:

180°-160°=exterior angle.

You should get that the exterior angle is 20°.

User Nattgew
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