Question

what is the relationship between $\angle poq$ and $\angle tos$?
\bigcirc vertical angles
\bigcirc adjacent angles
\bigcirc adjacent but not a linear pair
\bigcirc linear angles

Explanation:

First, define key terms:

1. Adjacent angles share a common vertex and side, no overlapping interiors.
2. A linear pair are adjacent angles whose non-common sides form a straight line (sum to $180^\circ$).

$\angle POQ$ and $\angle TOS$ share vertex $O$, but do not share a common side. Vertical angles are opposite each other when two lines intersect, which matches this pair.

Answer:

Vertical angles