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Question

ABCD is a rhombus with ∠ABC = 30°. The measure of ∠ACD (in degrees) is _____ .
  1. 75

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Solution

The correct option is A 75

∠ABC = 30 (Given)

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

Here, AC is the diagonal.
In a rhombus, the diagonals are the angle bisectors.

∠ACD = 12 ∠BCD = 12 × 150 = 75


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