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

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Question 1029633: Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
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Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
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The sum of interior angles of n-gon is (n-2)*180°.

For a pentagon it is (5-2)*180° = 3*180° = 540°.

Therefore, the 5-th interior angle is

540° - (88° + 118° + 132° + 100°) = 102°.

Answer. The missed 5-th angle is 102°.


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