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 supplementary (a) linear pair: (b) vertical angles: (c) supplementary angles: try again recheck

Explanation:

Step1: Define 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: Define 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 $m$.

Step3: Define supplementary angles

Supplementary angles are two angles whose sum is $180^{\circ}$. A linear pair of angles is always supplementary. So, $\angle5$ and $\angle6$ (a linear pair) are supplementary.

Answer:

(a) $\angle1$ and $\angle2$
(b) $\angle1$ and $\angle3$
(c) $\angle5$ and $\angle6$