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If ABCD is a rhombus with ∠ABC = 56°, find the measure of ∠ACD.

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Best answer

Given, 

ABCD is a rhombus

∠ABC = 56° 

Since, 

AB = BC 

∴ ∠BAC = ∠BCA = \(\frac{1}{2}\)(180° - 56°)

\(\frac{124^​​°}{2}\) = 62°

∵ AB = BC

∠ACD=∠BAC = 62°

∵ AB || BC

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