Regional Mathematical Olympiad(India) 1994,P6

[tanmoy]

Tahmid vaia, you wrote:$\therefore \angle MLC=180-2x$.This implies,$\angle MCL= \angle CML$.But how

because of $ML$ is the median of a right angle triangle $MDC$ .
$ML=\frac{DC}{2}=LC$
$\angle MCL= \angle CML$

Oooo....ps!I could not catch it