ABCD is a parallelogram M is the mid-point of BD and BM bisects ∠ B. Then, ∠ AMB=

Question

ABCD is a parallelogram M is the mid-point of BD and BM bisects &#x2220; B. Then, &#x2220; AMB=

Philoid · Accepted Answer

Given,

ABCD is a parallelogram,

M is mid point of BD

BM bisects ∠B

∵ ∠A+∠B = 180° [adjacent angles of parallelogram are supplementary]

In ∆AMB , ∠AMB+

= ∠AMB +

=∠AMB +

= ∠AMB = 180° - 90° = 90°