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:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are non - adjacent angles opposite each other.

Step2: Analyze each option

In the given diagram, lines $AE$ and $CD$ intersect at point $B$. $\angle ABE$ and $\angle CBD$ are non - adjacent and opposite each other. Also, $\angle ABC$ and $\angle EBD$ are non - adjacent and opposite each other.

Answer:

$\angle ABE$ and $\angle CBD$, $\angle ABC$ and $\angle EBD$