Q25 of 95 Page 15

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

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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