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 the interior angles of a pentagon is 540 degrees. We find the measure of the fifth angle by summing up the four angles given and subtracting this to the total sum. We calculate as follows:

Fifth angle = 540 - (40+80+115+165) = 140 degrees

Hope this answers the question.