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# ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC =35°, then ∠ABC =

A. 70°

B. 110°

C. 90°

D. 120°

Answer :

Given: ABCD is a parallelogram

AC is a bisector of angle BAD

∠BAC = 35°

∠A = 2 ∠BAC

∠A = 2 (35°)

∠A = 70°

∠A + ∠B = 180° (Adjacent angles of parallelogram are supplementary)

70 + ∠B = 180°

∠B = 110^{o}

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