the adjacent angles of a parallelogram are in the ratio 2x:4x:5x:9x find the measure of the greatest angle
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Sum of all angles of a IIgm is =360=2x+4x+5x+9x
20x=360
x=360/20
x=18
2x=2 X 18 = 36 deg
4x=4 X 18 = 72 deg
5x=5 X 18 = 90 deg
9x=9 X 18 = 162 deg
THEREFORE the measure of the greatest angle is 162
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