If one of the angles of a parallelogram measures 75°, find the other angles.
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in parelelogram opposite angle are equal
now in parallelogram ABCD , AB IS PARELLAL TO CD THEN SUM OF ITS INTERIOR ANGLE IS 180°
angle A + angle D =180°
75+ angle D = 180°
angle D = 105°
now angle A = angle C
and
angle D =. angle B
opp.angle o f parelelogram
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- opposite angles are congruent. so angle D = 105 degrees.
- So, the measurements of the other angles are 75 degrees, 105 degrees and 105 degrees.
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