Question

Question was provided via image upload.

Explanation:

Step1: Identify Vertical Angles

In the diagram, $\angle KSL$ and $\angle RSQ$ are vertical angles, so they are equal.

Step2: Identify Given Angles

We know $\angle K = 55^\circ$ and $\angle R = 55^\circ$, so $\angle K=\angle R$.

Step3: Apply AA Similarity Criterion

By the AA (Angle - Angle) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. Since $\angle K=\angle R$ and $\angle KSL=\angle RSQ$, $\triangle SRQ \sim \triangle SKL$.

Answer:

$\triangle SKL$