Diagonals of a quadrilateral ABCD bisect each other. If ∠ A =45°, then ∠ B =

Question

Diagonals of a quadrilateral ABCD bisect each other. If &#x2220; A =45&#xB0;, then &#x2220; B =

Philoid · Accepted Answer

Since, diagonals of quadrilateral bisect each other

Hence, it's a parallelogram

We know,

The adjacent angles of parallelogram are supplementary

Therefore,

∠A + ∠B = 180°

45° + ∠B = 180°

∠B = 135°