Question

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

Answer 1

Answer:

20°

Step-by-step 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°.