Question

determine whether the triangles are similar by aa-, sss-, sas-, or not similar.

Explanation:

Step1: Find missing angle in $\triangle NQF$

Sum of angles in a triangle is $180^\circ$.
$\angle F = 180^\circ - 29^\circ - 106^\circ = 45^\circ$

Step2: Find missing angle in $\triangle SEH$

Sum of angles in a triangle is $180^\circ$.
$\angle E = 180^\circ - 29^\circ - 45^\circ = 106^\circ$

Step3: Compare corresponding angles

$\angle Q = \angle S = 29^\circ$, $\angle N = \angle E = 106^\circ$, $\angle F = \angle H = 45^\circ$. Two pairs of congruent angles satisfy AA similarity.

Answer:

The triangles are similar by AA (Angle-Angle) similarity criterion.