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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°

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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°

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Option : (B)

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°

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