Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35°, then ∠B = _________.

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Solution

Given: Diagonals of a quadrilateral ABCD bisect each other

Since, the diagonals of a quadrilateral ABCD bisect each other
Therefore, It is a parallelogram

Sum of interior angles of a parallelogram is 180°
⇒ ∠A + ∠B = 180°
⇒ 35° + ∠B = 180°
⇒ ∠B = 180° − 35°
⇒ ∠B = 145°

Hence, ∠B = 145°.

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