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

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

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

Answer

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are two non - adjacent angles formed by two intersecting lines.

Step2: Analyze each option

For $\angle ABE$ and $\angle ABC$, they are adjacent, so not vertical angles. For $\angle ABE$ and $\angle CBD$, they are non - adjacent and formed by the intersection of two lines, so they are vertical angles. For $\angle ABE$ and $\angle EBD$, they are adjacent, so not vertical angles. For $\angle ABC$ and $\angle EBD$, they are non - adjacent and formed by the intersection of two lines, so they are vertical angles. For $\angle ABC$ and $\angle CBD$, they are adjacent, so not vertical angles.

Answer:

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