SOLUTION: A hexagon has three equal angles. The other three angles are 115,85 and 130. What is the size of each of three equal angles?
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Question 1117057: A hexagon has three equal angles. The other three angles are 115,85 and 130. What is the size of each of three equal angles? Answer by ikleyn(52871) (Show Source):
The sum of interior angles of a hexagon is (6-2)*180° = 4*180° = 720°.
Because the sum of interior angles of ANY n-sided polygon is (n-2)*180°.
In your case it means that
x + x + x + 115 + 85 + 130 = 720 degrees, or
3x + 330 = 720
3x = 720 - 330 = 390 ====> x = = 130°.
Answer. The measure of each of the three congruent angles is 130°.
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