find the measures of each angle of a parallelogram if larger angle is 30°, less than twice the smaller angle.
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let smaller angle = x
larger angle= 2x-30 (given)
opposite angles of paralelogram are equal
therefore angles are x, x, 2x-30, 2x-30
sum of angles of paralelogram = 360
x+x+2x-30+2x-30=360
6x-60=360
6x=420
x=420/6=70
smaller angle = x = 70
larger angle = 2x-30 = 140-30 = 110
THEREFORE ANGLES OF PARALELOGRAM ARE 70 , 70 , 110 , 110
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