Question

Four interior angles of a pentagon measure 88 degrees, 118, 132, and 100. What is the measure of the fifth interior angle?

Answer 1

The angle is 102

Explanation:

The interior angles of a polygon equal (n – 2)180 where n is the number of sides

A pentagon has 5 sides

(5-2)*180 = 540

The sum of the angles should be 540

Let x be the fifth angle

88+118+132+100 +x =540

Combine like terms

438+x = 540

Subtract 438 from each side

438-438+x = 540-438

x =102