Answer:
Measure of angle 4 is 115°
Step-by-step explanation:
First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.
Find angle 2 by setting up an equation:
[tex]x+x+50=180[/tex]
This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.
Solve the equation:
[tex]x+x+50=180[/tex]
Combine the 2 x's to get 2x.
[tex]2x+50=180[/tex]
Subtract 50 from both sides.
[tex]2x=130[/tex]
Divide both sides by 2.
[tex]x=65[/tex]
Since x=65, plug 65 into x in the measure of angle 2 (x+50).
65+50=115.
Since Angle 2 is equal to angle 4, angle 4 is also 115.
