SOLUTION: Four angles of a pentagon have measures 30, 60, 120, and 165. Find the measure of the fifth angle.

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Question 236198: Four angles of a pentagon have measures 30, 60, 120, and 165. Find the measure of the fifth angle.
Answer by Alan3354(69443) About Me  (Show Source):
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Four angles of a pentagon have measures 30, 60, 120, and 165. Find the measure of the fifth angle.
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The sum of the angles of any polygon with n sides is
180*(n-2)
A pentagon has 5 sides. 180*(3) = 540º
30 + 60 + 120 + 165 = 385º
The 5th angle is 540 - 385
= 155º