Question

$\triangle bcd \sim \triangle hij$. what is $m\angle i$?
$m\angle i = \square^\circ$

Explanation:

Step1: Find $\angle B$ in $\triangle BCD$

Sum of angles in a triangle is $180^\circ$.
$\angle B = 180^\circ - 68^\circ - 59^\circ = 53^\circ$

Step2: Match corresponding angles

Similar triangles have congruent corresponding angles. $\angle I$ corresponds to $\angle B$.
$m\angle I = \angle B$

Answer:

$53$