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Bunuel

In the figure, ABCD is a parallelogram, what is the value of b ?

(A) 46
(B) 48
(C) 72
(D) 84
(E) 96


Attachment:
parallelogram.jpg


ABCD is parallelogram i.e. Sum of Adjacent two angle = 180º

Angle A = 48+48 = 96

i.e. Angle bº = 180º-96º = 84º

Answer: Option D
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Bunuel

In the figure, ABCD is a parallelogram, what is the value of b ?

(A) 46
(B) 48
(C) 72
(D) 84
(E) 96


Attachment:
parallelogram.jpg

We see that angle DAB = 48 + 48 = 96 degrees. Since ABCD is a parallelogram and consecutive angles of a parallelogram are supplementary, angle ABC = 180 - 96 = 84 degrees. So b = 84.

Answer: D
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