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

Question

Isabel Owens

Mathematics

27 February, 00:27

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

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Answers (1)

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Daphne Petersen · 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.