Question

$\triangle xyz \sim \triangle igh$. what is $m\angle g$? $m\angle g = \square ^\circ$

Explanation:

Step1: Find $\angle Z$ in $\triangle XYZ$

Sum of angles in a triangle is $180^\circ$.
$\angle Z = 180^\circ - 110^\circ - 35^\circ = 35^\circ$

Step2: Match corresponding angles

Similar triangles have congruent corresponding angles. $\angle G$ corresponds to $\angle Z$.
$m\angle G = m\angle Z$

Answer:

$35$