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In a parallelogram ABCD
ANGLE A = ANGLE C
ANGLE B = ANGLE D [Opp. angles of parallelogram are equal]
Now it is given that ANGLE A = ANGLE B + 50
Now,
ANGLE A + ANGLE B + ANGLE C + ANGLE D = 360
[ANGLE B + 50] + ANGLE B +[ANGLE B + 50] + ANGLE B = 360
4 ANGLE B + 100 = 360
ANGLE B = 260/4
ANGLE B = 65 DEGREE
HENCE
ANGLE A = ANGLE B + 50 = 65 + 50 = 110 DEGREE
ANGLE B = 65 DEGREE
ANGLE C = ANGLE A = 110 DEGREE
ANGLE D = ANGLE B = 65 DEGREE
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