for the figure below, give the following.
(a) one pair of vertical angles
(b) one pair of angles that form a linear pair
(c) one pair of angles that are supplementary
(a) vertical angles: ∠ and ∠
(b) linear pair: ∠ and ∠
(c) supplementary angles: ∠ and ∠

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# Brief Explanations:
- **Vertical angles**: Vertical angles are opposite angles formed by the intersection of two lines. In the given figure, $\angle1$ and $\angle3$ (or $\angle2$ and $\angle4$, $\angle6$ and $\angle8$, $\angle5$ and $\angle7$) are vertical angles as they are non - adjacent and formed by the intersection of lines $l$ and $n$ (or $m$ and $n$).
- **Linear pair**: A linear pair of angles is a pair of adjacent angles whose non - common sides are opposite rays. $\angle1$ and $\angle2$ (or $\angle2$ and $\angle3$, $\angle3$ and $\angle4$, $\angle4$ and $\angle1$, $\angle5$ and $\angle6$, $\angle6$ and $\angle7$, $\angle7$ and $\angle8$, $\angle8$ and $\angle5$) are linear pairs. For example, $\angle1$ and $\angle2$ share a common side and their non - common sides form a straight line.
- **Supplementary angles**: Supplementary angles are two angles whose sum is $180^{\circ}$. A linear pair of angles is always supplementary. Also, non - adjacent angles can be supplementary. For example, if we consider $\angle1$ and $\angle3$ (vertical angles, but if we assume some other relationships based on the figure's lines, we can also take non - linear pair supplementary angles. However, a safe choice is to take a linear pair as a linear pair is supplementary). So, using the linear pair $\angle1$ and $\angle2$ (or any other linear pair) for supplementary angles.

# Answer:
(a) $\angle1$ and $\angle3$ (or other valid vertical angle pairs like $\angle2$ and $\angle4$, $\angle6$ and $\angle8$, $\angle5$ and $\angle7$)
(b) $\angle1$ and $\angle2$ (or other valid linear pairs like $\angle2$ and $\angle3$, $\angle3$ and $\angle4$, $\angle4$ and $\angle1$, $\angle5$ and $\angle6$, $\angle6$ and $\angle7$, $\angle7$ and $\angle8$, $\angle8$ and $\angle5$)
(c) $\angle1$ and $\angle2$ (or other valid supplementary angle pairs. Since a linear pair is supplementary, using the same linear pair as in part (b) is appropriate)

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