for the figure below, give the following. (a) one pair of angles that form a linear pair (b) one pair of…

Explanation:

Step1: Identify linear - pair

A linear pair of angles are adjacent angles that form a straight line. $\angle1$ and $\angle2$ are adjacent and their non - common sides form a straight line.

Step2: Identify vertical angles

Vertical angles are the non - adjacent angles formed by two intersecting lines. $\angle1$ and $\angle3$ are vertical angles as they are formed by the intersection of lines $l$ and $n$.

Step3: Identify congruent angles

Vertical angles are congruent. So, $\angle1$ and $\angle3$ are congruent. Also, corresponding angles (e.g., $\angle2$ and $\angle6$) are congruent when two parallel lines are cut by a transversal. Here we can use vertical angles as an example.

Answer:

(a) $\angle1$ and $\angle2$ (b) $\angle1$ and $\angle3$ (c) $\angle1$ and $\angle3$