Question

are these triangles similar?
options: yes, no

Explanation:

Step1: Find missing angle in △TUV

Sum of angles in a triangle is $180^\circ$.
$\angle T = 180^\circ - 90^\circ - 37^\circ = 53^\circ$

Step2: Find missing angle in △QPR

Sum of angles in a triangle is $180^\circ$.
$\angle Q = 180^\circ - 90^\circ - 31^\circ = 59^\circ$

Step3: Compare angle sets

△TUV angles: $37^\circ, 90^\circ, 53^\circ$; △QPR angles: $31^\circ, 90^\circ, 59^\circ$. No matching pair of non-right angles, so no AA similarity.

Answer:

no