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Question

ABCD is rhombus with ∠ABC = 30°. The measure of ∠ACD is:


A

60

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B

75

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C

150

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D

120

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Solution

The correct option is B

75


∠ABC = 30 (Given)
A rhombus is also a parallelogram.

Hence ∠BCD = 180 - 30 = 150 (Adjacent angles of a parallelogram are supplementary)

Diagonals of rhombus bisects the angles.

∠ACD = 12 ∠BCD
= 12 × 150
= 75


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