SOLUTION: three angles of hexagon are 60,100and 120 . find the other three angles if they are ratio of 1:4:5

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Question 630408: three angles of hexagon are 60,100and 120 . find the other three angles if they are ratio of 1:4:5
Answer by stanbon(75887) About Me  (Show Source):
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three angles of hexagon are 60,100and 120 . find the other three angles if they are ratio of 1:4:5
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The sum of the interior angles of a hexagon is (6-2)*180 = 4*180 = 720 degrees
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The 3 angles you know have a sum of 280 degrees.
The other 3 angles must have a sum of 720-280 = 440 degrees
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Equation:
x + 4x + 5x = 440
10x = 440
x = 44 degrees
4x = 176 degrees
5x = 220 degrees
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Cheers,
Stan H.