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 formed when two lines intersect. They are opposite each other and are equal in measure.

• For \(\angle ABE\) and \(\angle CBD\): When two lines (one line is \(AE\) and the other is \(CD\)) intersect at point \(B\), \(\angle ABE\) and \(\angle CBD\) are opposite each other.
• For \(\angle ABC\) and \(\angle EBD\): When two lines (one line is \(AE\) and the other is \(CD\)) intersect at point \(B\), \(\angle ABC\) and \(\angle EBD\) are opposite each other.

Answer:

\(\angle ABE\) and \(\angle CBD\), \(\angle ABC\) and \(\angle EBD\)