Question

In the diagram, which angles are vertical angles? Check all that apply.

ABE and ABC
ABE and CBD
ABE and EBD
ABC and EBD
ABC and CBD

Answer 1

Vertically Opposite angles: When two lines intersect, at a point four angles are formed.The Angles which do not form linear pair are vertically opposite angle.

In the given figure two lines, AD and EC , intersect at point B.The four angles formed are , ∠ABE,∠DBE ,∠CBD,∠ABC.

Angles which form linear pair: 1. ∠ABE,∠DBE

2. ∠DBE ,∠CBD

3.∠CBD,∠ABC

4.∠ABE,∠ABC.

Vertically Opposite Angles:

1. ∠ABE,∠D BC

2. ∠ABC,∠D BE

Option B:

1. ABE and C B D

Option D

2.ABC and E B D

Answer 2

The best and most correct answer among the choices provided by the question is the first choice. The vertical angls are ABE and ABC.
I hope my answer has come to your help. God bless and have a nice day ahead!