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(52824)   (Show Source):
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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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