Question

in below diagram, line ab is parallel to cd. i.e. ab || cd. ∠egb = 57°. ∠egb and ∠ehd are so the m∠ehd = 57 because they are corresponding degrees.

Explanation:

Step1: Identify angle - relationship

Given $\overline{AB}\parallel\overline{CD}$, $\angle EGB$ and $\angle EHD$ are corresponding angles.

Step2: Apply parallel - line property

For parallel lines cut by a transversal, corresponding angles are equal. Since $\angle EGB = 57^{\circ}$, then $\angle EHD=\angle EGB$.

Answer:

$57$