Question

Which pairs of angles in the figure below are vertical angles?

Check all that apply.
A. Angle ELY and Angle AYS
B. Angle AYS and angle LYS
C. Angle SYL and angle EYA
D. Angle AYE and angle HYL

Answer 1

Answer B and C are correct.

Explanation:

Vertical angles opposite each other when two lines cross.

"Vertical" refers to the vertex (where they cross), NOT up/down. They are equal.

Answer 2

`\angle EYL` and
`\angle AYS`

`\angle SYL` and
`\angle EYA`

Explanation:

Vertical angles can be defined as the pair of angle which are opposite when two lines crosses, as the image attached shows.

Now,
`\angle EYL` and
`\angle AYS` are vertical angles, because they are opposite when lines ES and AL cross at point Y.

Another pair of vertical angles are
`\angle SYL` and
`\angle EYA`, because they are opposite when lines ES and AL cross at point Y.

Therefore, all pair of angles which are vertical angles are

`\angle EYL` and
`\angle AYS`

`\angle SYL` and
`\angle EYA`