the measure of two adjacent angle of a parallelogram are in the ratio 7:11 find the measure of each angle
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Step-by-step explanation:
Adjacent angles of parallelogram are supplementary
let the common multiple be x
so, 7x: 11x
therefore ,
7x+11x=180
18x=180
x=180÷18
x= 10
therefore
7x=7×10=70
11x=11×10=110
Similarly we can find the opposite angles also
so, the opposite angles of the parallelogram are congruent
therefore the measur of angles are
70,110,70and 180
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