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

Answer:

True options are options Angle ABE and Angle CBD and Angle ABC and Angle EBD.

Step-by-step explanation:

When two lines intersect, two opposite angles are vertical angles. Two lines AB and BC intersect at point B. Point D lies on the line AB, point E lies on the line BC (see attached diagram).

These lines form two pairs of opposite angles:

• ABE and CBD;
• ABC and DBE.

So, true options are options Angle ABE and Angle CBD and Angle ABC and Angle EBD.

Answer 2

The pairs of angles that are vertical angles in the diagram are: ∠ABE and ∠CBD; and ∠ABC and ∠EBD.

What are Vertical Angles?

Angles that lie vertically opposite each other when two straight lines intersect at a point are pairs of vertical angles.

Thus:

∠ABE and ∠CBD are vertically opposite each other. So also ∠ABC and ∠EBD.

Therefore, the pairs of angles that are vertical angles in the diagram are: ∠ABE and ∠CBD; and ∠ABC and ∠EBD.

Learn more about vertical angles on:

https://brainly.com/question/1673457