Question

use the picture below and right to answer the following questions.
name 2 pairs of same side exterior angles:
1st pair: &
2nd pair: &
name a par of vertical angles: &
name a par of supplementary angles: &
name a linear par: &

Explanation:

Step1: Identify Same - Side Exterior Angles

Same - side exterior angles are pairs of angles that lie outside the two lines and on the same side of the transversal.
For the first pair, \(\angle2\) and \(\angle8\) are same - side exterior angles.
For the second pair, \(\angle4\) and \(\angle6\) are same - side exterior angles.

Step2: Identify Vertical Angles

Vertical angles are pairs of opposite angles formed by two intersecting lines. \(\angle1\) and \(\angle3\) (or \(\angle2\) and \(\angle4\), \(\angle5\) and \(\angle7\), \(\angle6\) and \(\angle8\)) are vertical angles. Let's take \(\angle2\) and \(\angle4\) as an example.

Step3: Identify Supplementary Angles

Supplementary angles are two angles whose sum is \(180^{\circ}\). \(\angle1\) and \(\angle2\) (since they form a linear pair, and the sum of angles in a linear pair is \(180^{\circ}\)) are supplementary angles.

Step4: Identify Linear Pair

A linear pair is a pair of adjacent angles whose non - common sides are opposite rays. \(\angle1\) and \(\angle2\) (or \(\angle2\) and \(\angle3\), \(\angle3\) and \(\angle4\), \(\angle4\) and \(\angle1\), \(\angle5\) and \(\angle6\), \(\angle6\) and \(\angle7\), \(\angle7\) and \(\angle8\), \(\angle8\) and \(\angle5\)) are linear pairs. Let's take \(\angle1\) and \(\angle2\) as an example.

Answer:

1st Pair (Same - Side Exterior Angles): \(\angle2\) & \(\angle8\)
2nd Pair (Same - Side Exterior Angles): \(\angle4\) & \(\angle6\)
Pair of Vertical Angles: \(\angle2\) & \(\angle4\)
Pair of Supplementary Angles: \(\angle1\) & \(\angle2\)
Linear Pair: \(\angle1\) & \(\angle2\)