In a parallelogram ABCD, if ∠DAB = 75° and ∠DBC = 60°, then ∠BDC =

(a) 75°

(b) 60°

(c) 45°

(d) 55°

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Solution

Parallelogram can be drawn as :

We know that the opposite angles of a parallelogram are equal.

Therefore,

By angle sum property of a triangle:

Thus, measures.

Hence the correct choice is (c).

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In the adjoining figure, ABCD is a parallelogram in which $∠ B A D = 75^{\circ} a n d ∠ C B D = 60^{\circ}$ . Then, $∠ B D C =$ ?

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(b) $75^{\circ}$

(d) $50^{\circ}$

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