Question

in the diagram, which angles are vertical angles?
select two options.
□ ∠abe and ∠abc
□ ∠abe and ∠cbd
□ ∠abe and ∠ebd
□ ∠abc and ∠ebd
□ ∠abc and ∠cbd

Explanation:

Vertical angles are pairs of opposite angles formed by intersecting lines, and they are congruent.

1. For $\angle ABE$ and $\angle CBD$: These are opposite each other where lines $AD$ and $EC$ intersect at point $B$, so they are vertical angles.
2. For $\angle ABC$ and $\angle EBD$: These are opposite each other where lines $AD$ and $EC$ intersect at point $B$, so they are vertical angles.

Answer:

B. $\angle ABE$ and $\angle CBD$
D. $\angle ABC$ and $\angle EBD$