Question

one of the angle of a parallelogram is 75°.find the remaining angles of parallelogram

Answer 1

Let ABCD be parallelogram
angle B be 75°
the sum of adjacent angles of a parallelogram is supplementary.
A+B=180
$a + 70 = 180 \\ a = 180 - 70 \\ a = 110$
angleB=angleD ...... ( opp. angles are congruent)
angle D= 70°
angle A = Angle C ....(opp. angle are congruent)
angle C = 110°
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