Question

Four of the angles of a pentagon have measures 40, 80, 115, and 165. Find the measure of the fifth angle.

Answer 1

The sum of all the interior angles of a pentagon is 540 degrees


So if x is the fifth angle, then


40+80+115+165+x = 540


Solve this equation for x to find your answer.

Answer 2

thank you! so x=140?

Answer 3

yes, the answer is x=140


So the fifth angle is 140 degrees