Question

△kjl ≅ △wxy. what is m∠l? \boxed{\space}°

Explanation:

Step1: Identify corresponding angles

Corresponding angles of congruent triangles are equal. $\angle L$ corresponds to $\angle Y$.

Step2: Calculate $m\angle Y$

Sum of angles in a triangle is $180^\circ$. $m\angle Y = 180^\circ - 33^\circ - 90^\circ = 57^\circ$ (right angle marked at $Y$).

Step3: Relate to $m\angle L$

Since $\angle L \cong \angle Y$, $m\angle L = m\angle Y$.

Answer:

57