Q. 255.0( 1 Vote )

# 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

Diagonal AC bisects ∠BAD

∠BAC = 35°

∵∠A+∠B = 180° …………(i) [ angle sum property of quadrilateral]

∠A = 2∠BAC = 2×35° = 70°

Putting value of ∠A in equation (i)

= 70°+∠B = 180°

= ∠B = 180°-70° = 110°

∠ABC = 110°

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