Question

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 ∠

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are opposite angles formed by two intersecting lines. $\angle1$ and $\angle6$ are vertical angles.

Step2: Recall linear - pair definition

A linear pair of angles are adjacent angles that form a straight line. $\angle1$ and $\angle2$ form a linear pair.

Step3: Recall supplementary - angle definition

Supplementary angles are two angles whose sum is 180 degrees. A linear pair is a special case of supplementary angles. $\angle1$ and $\angle2$ are supplementary.

Answer:

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