the interior angle of a hexagon are the ratio 5: 5: : 6 : 6: 7:7: .find all the angles of the hexagon .
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Sum of all angles of hexagon is=720 degrees.
And the ratios given are=5x, 5x, 6x, 6x, 7x, 7x.
So, 5x +5x +6x +6x +7x +7x =720 degrees
36x=720 degrees
x=20 degrees.
All the angles of the hexagon are as follows:
5x =5×20=100 degrees.
5x =5×20=100 degrees.
6x =6×20=120 degrees.
6x =6×20=120 degrees.
7x =7×20=140 degrees.
7x =7×20=140 degrees.
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