A) \[{{45}^{{}^\circ }}\]
B) \[{{60}^{{}^\circ }}\]
C) \[{{90}^{{}^\circ }}\]
D) \[{{30}^{{}^\circ }}\]
Correct Answer: C
Solution :
(c): \[\angle B=\angle D\Rightarrow \frac{1}{2}\angle B=\frac{1}{2}\angle D\] \[\Rightarrow \]\[\angle ADB=\angle ABM.\] \[\therefore \] \[\Delta ABD\] is isosceles and M is the mid-point of BD, \[\therefore \]\[AM\bot BD\] and hence \[\angle AMB={{90}^{{}^\circ }}\].
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