Question

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

Explanation:

Step1: Match congruent triangle parts

Side $KL = 35$ in matches side $SU = 35$ in, right angle $\angle L$ matches right angle $\angle S$. So $\angle K$ corresponds to $\angle U$.

Step2: Identify $\angle U$ measure

From the second triangle, $m\angle U = 55^\circ$.

Step3: Apply congruence property

Congruent triangles have congruent corresponding angles, so $m\angle K = m\angle U$.

Answer:

$55$