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Q.
In the figure below, $A B C D$ is a square, $M D C$ is an equilateral triangle. Find the value of $x$.
Geometry
Solution:
(i) The diagonal $B D$ bisects $\angle B$ and $\angle D$.
(ii) $B C D$ is an isosceles right-angled triangle. Using this find $\angle C B D$.
(iii) Given DMC is equilateral, so use this to find $\angle M C B$.
(iv) Sum of the angles of a triangle is $180^{\circ}$. Using this find $\angle x$.
