Question

are these triangles similar?
h
35°
g
u
35°
w
58°
v
58°
f
yes
no

Explanation:

Step1: Find missing angle in $\triangle GFH$

Sum of angles in a triangle is $180^\circ$.
$\angle G = 180^\circ - 58^\circ - 35^\circ = 87^\circ$

Step2: Find missing angle in $\triangle UVW$

Sum of angles in a triangle is $180^\circ$.
$\angle U = 180^\circ - 58^\circ - 35^\circ = 87^\circ$

Step3: Compare all corresponding angles

$\angle F = \angle V = 58^\circ$, $\angle H = \angle W = 35^\circ$, $\angle G = \angle U = 87^\circ$. All pairs of corresponding angles are equal, so triangles are similar by AA similarity criterion.

Answer:

yes