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Question
Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =
Options
115°
120°
125°
135°
Solution
We know that the diagonals of a parallelogram bisect each other.
Thus, the given quadrilateral ABCD is a parallelogram.
∠A = 45° and ∠B are consecutive interior angles, which must be supplementary.
Therefore, we have
∠A + ∠B = 180°
45° +∠B = 180°
∠B = 180°- 45°
∠B = 135°
Hence the correct choice is (d).
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