Question 55
in a triangle $ABC$, we take points $X, Y$ on the sides $AB, BC$, respectively. If $AY$ e $CX$ intersect in $Z$ e
$$
AY = YC \text{ and } AB = ZC
$$
check that
$$
\angle CZY = \angle ABY
$$
$$
AY = YC \text{ and } AB = ZC
$$
check that
$$
\angle CZY = \angle ABY
$$