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

Given,

ABCD is a quadrilateral

∠A = 45° ,

∵ diagonals of quadrilateral bisects each other hence ABCD is a parallelogram,

= ∠A +∠B = 180°

=45°+∠B = 180°

=∠B = 180°- 45° = 135°