Question

△cde ≅ △igh. what is m∠e?

Explanation:

Step1: Find $\angle I$ in $\triangle IGH$

The sum of angles in a triangle is $180^\circ$.
$m\angle I = 180^\circ - 80^\circ - 36^\circ = 64^\circ$

Step2: Match congruent triangle angles

$\triangle CDE \cong \triangle IGH$, so $\angle C \cong \angle I$, $\angle D \cong \angle G$, $\angle E \cong \angle H$.

Step3: Identify $m\angle E$

$m\angle E = m\angle H = 36^\circ$

Answer:

$36$