Question

are these triangles similar?
yes
no

Explanation:

Step1: Identify matching angles

In $\triangle DEF$, $\angle F = 105^\circ$, $\angle E$ is marked. In $\triangle QRS$, $\angle R = 105^\circ$, $\angle Q$ is marked (matching $\angle E$).

Step2: Apply AA similarity rule

Two pairs of corresponding angles are equal: $\angle F = \angle R = 105^\circ$, $\angle E = \angle Q$. By AA (Angle-Angle) similarity criterion, the triangles are similar.

Answer:

yes