Question

these figures are congruent. what is m∠k?

Explanation:

Step1: Recall congruent triangles property

Congruent triangles have corresponding angles equal. So, triangle \( LKM \) (with \( \angle K \)) is congruent to triangle \( UWV \) (with \( \angle W = 80^\circ \)).

Step2: Identify corresponding angle

Since the triangles are congruent, \( \angle K \) corresponds to \( \angle W \). Given \( m\angle W = 80^\circ \), so \( m\angle K = 80^\circ \).

Answer:

\( 80 \)