Question

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

Answer 1

The angle ABE and angle CBD are vertically opposite angles and angle ABC and angle EBD are also vertically opposite angle.

Further Explanation:

Vertical angles can be defined as the angles that are opposite to each other if two lines cross each other.

Acute angles are those angles in which the measurement of the angle is less than ${90^ \circ }.$

Explanation:

The angle ABE and angle ABC are not vertically opposite angles as they are not opposite to each other.

The angle ABE and angle CBD are vertically opposite angles as they opposite to each other.

The angle ABE and angle EBD are not vertically opposite angles as they are not opposite to each other.

The angle ABC and angle EBD are vertically opposite angles as they opposite to each other.

The angle ABC and angle CBD are not vertically opposite angles as they are not opposite to each other.

Hence, angle ABE and angle CBD are vertically opposite angles and angle ABC and angle EBD are also vertically opposite angle.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Angles

Keywords: vertical angle, opposite angle, angles, alternate angles, linear pair, corresponding angles.

Answer 2

If two line crosses, then the vertical angles are the angles opposite each other. In this way, these angles share the same vertex. So, the vertical angles are always equal. Therefore, in this problem, the right answers are:

1. ABE and CBD

Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.

2. ABC and EBD

The same reasoning is applied here. The vertex is also B. Notice that the angles CBD and ABD add up to 180 degrees.