Question

use the figure below to answer the following questions:
the angle that is a linear pair with angle 1 is angle 4
the angle that is a linear pair with angle 2 is angle 3
the angle that is a vertical angle with angle 1 is angle 3
the angle that is a vertical angle with angle 2 is angle 4

Explanation:

Step1: Recall linear - pair definition

Two angles are a linear pair if they are adjacent and their non - common sides are opposite rays. Angle 1 and angle 4 share a side and their non - common sides form a straight line.

Step2: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. Angle 1 and angle 3 are opposite each other when two lines intersect.

Step3: Apply to angle 2

For angle 2, its linear pair is angle 3 as they are adjacent and non - common sides form a straight line, and its vertical angle is angle 4 as they are opposite each other at the intersection.

Answer:

The angle that is a Linear Pair with angle 1 is angle 4.
The angle that is a Linear Pair with angle 2 is angle 3.
The angle that is a Vertical Angle with angle 1 is angle 3.
The angle that is a Vertical Angle with angle 2 is angle 4.