Q. 34.3( 3 Votes )

In the given figure, ABCD is a parallelogram in which BAD = 75° and CBD = 60°. Then, BDC = ?


A. 60o

B. 75o

C. 45o

D. 50o

Answer :

It is given in the question that,

In parallelogram ABCD: BAD = 75o, CBD = 60o


Now, DAB = DCB = 75o (Opposite angles)


Also, in triangle DBC we know that sum of angles of a triangle is 180o


DBC + BDC + DCB = 180o


60o + BDC + 75o = 180o


135o + BDC = 180o


BDC = 180o – 135o


BDC = 45o


Hence, option (C) is correct

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