Question

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

Answer 1

Answer:

Answer B and C are correct.

Step-by-step 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

Answer:

$\angle EYL$ and $\angle AYS$

$\angle SYL$ and $\angle EYA$

Step-by-step 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 $\angle EYA$