Question

are these triangles similar?
f e g triangle with angle at f 56°, angle at e marked with red arc; u t s triangle with angle at u 56°, angle at t marked with red arc.
options: yes, no

Explanation:

Step1: Identify matching angles

In $\triangle EFG$, $\angle F = 56^\circ$, $\angle E$ is marked. In $\triangle STU$, $\angle U = 56^\circ$, $\angle T$ is marked.

Step2: Check AA similarity condition

$\angle F = \angle U = 56^\circ$, and the marked angles $\angle E = \angle T$. 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.

Answer:

yes