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Question

In the given figure, ABCD is a parallelogram in which BDC=45 and BAD=75.  Then, CBD= ?

(a) 45

(b) 55

(c) 60

(d) 75


Solution

ANSWER:
(c)​ 60°
Explanation:
∠BAD = ∠BCD = 75
[Opposite angles are equal]
In ∆ BCD, ∠ C = 75
∴ ​∠ CBD = 180 − (75 + 45 ) = 60

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