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In the figure below, ABCD is a square , ...

In the figure below, ABCD is a square , MDC is an equilateral triangle. Find the value of x.

A

`75^(@)`

B

`90^(@)`

C

`105^(@)`

D

`60^(@)`

Text Solution

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The correct Answer is:
c
(i) The diagonal BD bisects `/_B` and `/_ D` .
(ii) BCD is an isosceles righ angles triangle using this find `/_ CBD`.
(iiI) Given DMC is equilateral, so use this find `/_ MCB`.
(iv) Sum of the angles of a triangle is `180^(@)`. Using this find `/_ x`.
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