Answer: x=20
Step-by-step explanation:
The two angles provided are vertical angles.
Vertical angles are equal in measurement.
This means we can set (3x+50) and (6x-10) equal to each other and solve for x
[tex]3x+50=6x-10[/tex]
Add 10 to both sides
[tex]3x+50=6x-10\\3x+50+10=6x-10+10\\3x+60=6x[/tex]
Subtract 3x from both sides
[tex]3x-3x+60=6x-3x\\60=3x[/tex]
Divide both sides by 3
[tex]\frac{60}{3} =\frac{3x}{3} \\20=x[/tex]
