these figures are congruent. what is ( mangle k )?

Explanation:

Step1: Recall congruent triangles property

Congruent triangles have equal corresponding angles.

Step2: Identify corresponding angle

In (\triangle MLK) and (\triangle OPQ), (\angle K) corresponds to (\angle Q).

Step3: Determine angle measure

Since (m\angle Q = 56^{\circ}), then (m\angle K=56^{\circ})

Answer:

(56)