Question

by 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:
∠ and ∠
∠ and ∠
∠ and ∠

Explanation:

Step1: Recall definitions

Linear - pair angles are adjacent and supplementary. Vertical angles are opposite each other when two lines intersect. Supplementary angles add up to 180 degrees.

Step2: Find linear - pair

$\angle1$ and $\angle2$ form a linear - pair as they are adjacent and their non - common sides are opposite rays.

Step3: Find vertical angles

$\angle1$ and $\angle3$ are vertical angles as they are opposite each other when two lines intersect.

Step4: Find supplementary angles

$\angle5$ and $\angle6$ are supplementary as they are adjacent and form a straight line.

Answer:

(1) $\angle1$ and $\angle2$
(2) $\angle1$ and $\angle3$
(3) $\angle5$ and $\angle6$