Question

are these triangles similar?
yes
no

Explanation:

Step1: Identify given angles

In $\triangle JIH$, $\angle I$ is marked, $\angle H$ is marked. In $\triangle UTS$, $\angle T$ is marked (congruent to $\angle I$), $\angle U$ is marked (congruent to $\angle H$).

Step2: Apply AA similarity rule

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. Here, $\angle I \cong \angle T$ and $\angle H \cong \angle U$, so $\triangle JIH \sim \triangle UTS$ by AA similarity.

Answer:

yes