Question

are these triangles similar?
f 56° e
u 56° t
g
s
yes
no

Explanation:

Step1: Find ∠G in △EFG

Sum of angles in triangle is $180^\circ$.
$\angle G = 180^\circ - 56^\circ - \angle E$

Step2: Find ∠S in △TSU

Sum of angles in triangle is $180^\circ$.
$\angle S = 180^\circ - 56^\circ - \angle T$

Step3: Match equal angles

$\angle F = \angle U = 56^\circ$, $\angle E = \angle T$ (marked equal). Thus $\angle G = \angle S$. By AA (Angle-Angle) similarity criterion, the triangles are similar.

Answer:

yes