Questions: Determine whether the two triangles are similar. Triangle KLJ is similar to triangle RPQ by AA similarity. The triangles are not necessarily similar. Triangle KLJ is similar to triangle RPQ by SSS. Triangle KLJ is similar to triangle RPQ by SAS similarity.

Solution Steps

We are given two triangles $\triangle KLJ$ and $\triangle RPQ$. In $\triangle KLJ$, $\angle J = 21^\circ$ and $\angle K$ is marked with a single arc. In $\triangle RPQ$, $\angle Q = 21^\circ$ and $\angle R$ is marked with a single arc.

We have $\angle J = \angle Q = 21^\circ$. Also, $\angle K = \angle R$ because they are marked with the same single arc. Since two angles of $\triangle KLJ$ are congruent to two angles of $\triangle RPQ$, the triangles are similar by the Angle-Angle (AA) similarity criterion.

Final Answer