Question

name one angle congruent to ∠e. ∠? ≅ ∠e enter the angle letter.

Explanation:

Step1: Identify parallel lines and transversal

The two vertical lines are parallel, and the slanted line is a transversal.

Step2: Use corresponding angles or alternate angles

$\angle E$ and $\angle B$ are corresponding angles (or $\angle D$, $\angle G$, $\angle H$ could also be congruent depending on position, but $\angle B$ is a common corresponding angle here). Since corresponding angles formed by a transversal with parallel lines are congruent, $\angle B \cong \angle E$. Also, $\angle D$ is vertical to $\angle B$ and alternate to $\angle E$ in some cases, but a common answer is $\angle B$ or $\angle D$ or $\angle G$ or $\angle H$. Let's take $\angle B$ (or $\angle D$ as another option). Wait, looking at the diagram, the first vertical line has points A, B, C, D (with B and C on the transversal), the second has E, F, G, H (with F and H on the transversal). So $\angle E$ and $\angle B$ are corresponding angles (same position relative to parallel lines and transversal), so they are congruent. Also, $\angle D$ is vertical to $\angle B$, so $\angle D \cong \angle B$, hence $\angle D \cong \angle E$. Similarly, $\angle G$ is corresponding to $\angle D$ and $\angle H$ is vertical to $\angle E$? Wait, maybe better to see: $\angle E$ and $\angle B$ (corresponding), $\angle E$ and $\angle D$ (alternate interior), $\angle E$ and $\angle G$ (corresponding), $\angle E$ and $\angle H$ (vertical? No, $\angle E$ and $\angle H$: $\angle E$ is at E, between transversal and vertical line, $\angle H$ is at H, below transversal. Wait, maybe the simplest is $\angle B$ or $\angle D$ or $\angle G$ or $\angle H$. Let's check: the transversal crosses two parallel lines, so corresponding angles are congruent. So $\angle E$ (at the second vertical line, above transversal, left of transversal) corresponds to $\angle B$ (at first vertical line, above transversal, left of transversal). So $\angle B \cong \angle E$. Also, $\angle D$ is at first vertical line, below transversal, left of transversal, which is alternate interior to $\angle E$, so also congruent. So possible answers: B, D, G, H. Let's pick $\angle B$ or $\angle D$. Let's go with $\angle B$ (or $\angle D$). Let's confirm: if the two vertical lines are parallel, transversal cuts them, then corresponding angles are congruent. So $\angle E$ and $\angle B$ are corresponding, so congruent.

Answer:

$\angle B$ (or $\angle D$, $\angle G$, $\angle H$; here we choose $\angle B$ as a common answer)