Question

I need help with my math.the problem is in the picture below.

Answer 1

Given two similar triangles

So, the corresponding angles are congruent, and the corresponding sides are proportional

As shown:

m∠ Y = 35, m∠ X = 90

So, m∠ W = 90 - 35 = 55

And the triangle XYW is similar to the triangle ECD

So,

$\begin{gathered} m\angle C=m\angle Y=35 \\ m\angle D=m\angle W=55 \\ m\angle E=m\angle X=90 \end{gathered}$