Question

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

Explanation:

Step1: Identify linear - pair

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

Step2: Identify vertical angles

Vertical angles are formed when two lines intersect. $\angle1$ and $\angle4$ are vertical angles as they are opposite each other at the intersection of lines $l$ and $n$.

Step3: Identify congruent angles

Vertical angles are congruent. So, $\angle1$ and $\angle4$ are congruent. Also, corresponding angles (e.g., $\angle1$ and $\angle5$ when $l\parallel m$) are congruent. Let's choose $\angle1$ and $\angle5$ as a pair of congruent angles assuming $l\parallel m$.

Answer:

(a) $\angle1$ and $\angle2$
(b) $\angle1$ and $\angle4$
(c) $\angle1$ and $\angle5$