Question 107
Let $ABC$ be an acute triangle. The lines $\ell_{1}$ and $\ell_{2}$ are perpendicular to the line $AB$ at the points $A$ and $B$, respectively. The perpendiculars drawn from the midpoint $M$ of the segment $[AB]$ to the lines $AC$ and $BC$ intersect $\ell_{1}$ and $\ell_{2}$ at the points $E$ and $F$, respectively.
If $D$ is the intersection point of the lines $EF$ and $MC$, show that $\angle ADB \equiv \angle EMF$.
If $D$ is the intersection point of the lines $EF$ and $MC$, show that $\angle ADB \equiv \angle EMF$.