Question

are these triangles similar?

yes
no

Explanation:

Step1: Find missing angle of △EGF

Sum of angles in triangle is $180^\circ$.
$\angle E = 180^\circ - 97^\circ - 32^\circ = 51^\circ$

Step2: Find missing angle of △UWV

Sum of angles in triangle is $180^\circ$.
$\angle V = 180^\circ - 97^\circ - 27^\circ = 56^\circ$

Step3: Compare angle sets

△EGF angles: $97^\circ, 32^\circ, 51^\circ$; △UWV angles: $97^\circ, 27^\circ, 56^\circ$. No matching 3-angle pairs.

Answer:

no