ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC

1.	ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC = 35°, then ∠ABC = A. 70° B. 110° C. 90° D. 120°
Answer» 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°

ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC = 35°, then ∠ABC = A. 70° B. 110° C. 90° D. 120°

Answer»

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°