Question 250544: Suppose a hexagon has vertex angles, x, x+5°, 130°, x+5°, x and 130°. (So this is not a regular hexagon, just an irregular six-sided figure.) What is x?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Suppose a hexagon has vertex angles, x, x+5°, 130°, x+5°, x and 130°. (So this is not a regular hexagon, just an irregular six-sided figure.) What is x?
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Sum of the interior angles is (n-2)180 = (4*180) + 720 degrees
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Equation:
x + x+5 + 130 + x+5 + x + 130 = 720
4x + 10 + 260 = 720
4x = 450
x = 112.5
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Cheers,
Stan H.
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