Question

Which angles are vertical angles and, therefore, congruent?

3 lines intersect to form 8 angles. From top left, clockwise, the angles are A, B, C, D, H, G, F, E.
Angle A and Angle D
Angle A and Angle G
Angle A and Angle E
Angle A and Angle F

Answer 1

Vertical angles are formed when two lines intersect, and they are located opposite each other. Given the arrangement of the angles A, B, C, D, H, G, F, and E formed by three intersecting lines, we can identify the pairs of vertical angles.

The pairs of vertical angles from the options you've provided are:
- Angle A and Angle C (not listed in your options but a valid pair)
- Angle B and Angle D (not listed in your options but a valid pair)
- Angle E and Angle G (not listed in your options but a valid pair)
- Angle F and Angle H (not listed in your options but a valid pair)

From the options you've provided:
- **Angle A and Angle E** is a pair of vertical angles and therefore congruent.
- **Angle A and Angle F** is not a pair of vertical angles.
- **Angle A and Angle D** are adjacent angles and not vertical.
- **Angle A and Angle G** are also not vertical angles.

So, the correct answer from your provided options is:
**Angle A and Angle E**.