Answer:
[tex]\angle 1 = 101[/tex]
[tex]\angle 2 = 101[/tex]
[tex]\angle 3 = 101[/tex]
[tex]\angle 4 = 101[/tex]
Step-by-step explanation:
Given
The attachment
Require
Solve for [tex]\angle 1, \angle 2, \angle 3, \angle 4[/tex]
We start by solving for [tex]\angle 1[/tex]
[tex]\angle 1 + 79 = 180[/tex] ---- Angle on a straight line
[tex]\angle 1 + 79-79 = 180 - 79[/tex] --- Subtract 79 from both sides
[tex]\angle 1 = 101[/tex]
[tex]\angle 1 = \angle 2 = \angle 3[/tex] --- Corresponding angles;
So, we have:
[tex]\angle 2 = 101[/tex]
[tex]\angle 3 = 101[/tex]
[tex]\angle 1 = \angle 4[/tex] --- vertically opposite angles
So, we have:
[tex]\angle 4 = 101[/tex]
