Question

2 lines intersect. A line with points A, B, D intersects a line with points E, B, C at point B, forming 4 angles.
In the diagram, which angles are vertical angles? Select two options.

AngleABE and AngleABC
AngleABE and AngleCBD
AngleABE and AngleEBD
AngleABC and AngleEBD
AngleABC and AngleCBD

Answer 1

Choose:
- Angle ABE and Angle CBD
- Angle ABC and Angle EBD

Reason: A, B, D are collinear and E, B, C are collinear, so BA and BD are opposite rays and BE and BC are opposite rays. Vertical angles are nonadjacent/opposite pairs: (ABE, CBD) and (ABC, EBD).