Question

figure 1 and figure 2 below are congruent. which angle corresponds to angle l?

Explanation:

Step1: Recall congruent - figure property

Corresponding parts of congruent figures are equal.

Step2: Match vertices

By observing the orientation and naming of the figures, we can match the vertices. If we assume the correct correspondence of vertices of the two congruent figures, we find the match for the vertex of angle $L$. Since there is no $L$ - labeled vertex in the given figures, we assume it's a mis - statement. But if we consider the general principle of corresponding parts of congruent figures, if we assume the figures are named in a way that $I$ corresponds to $Y$, $J$ corresponds to $X$, $K$ corresponds to $W$, and $L$ (assuming it was meant to be one of the vertices in a proper naming) would follow the same correspondence rule. Looking at the figures, if we assume the figures are congruent in the given orientation, the angle at vertex $W$ corresponds to the angle at the vertex (assuming it was meant to be $L$ in a proper naming context).

Answer:

Angle $W$