the measure of two adjacent angles of a parallelogram are in the ratio of 2:4 find the measure of each of the angles of the parallelogram
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Answer is 60 degree and 120 degrees
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in parallelogram ABCD,
ratio of two adjacent angles =2:4=1:2
angle ABC= angle ADC=1x
angle BCD=angle BAD=2x
angle ABC+angle ADC+angle BCD+angle BAD=360°
x+x+2x+2x=360°
6x=360°
x=360°/6=60°
angle ABC= angle ADC=1x=60°
angle BCD=angle BAD=2x=2×60=120°
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