Answer:
C. 73 if I have read the given angle measurements correctly.
The angle measurements I see are:
[tex]219^\circ[/tex]
[tex](x-50)^\circ[/tex]
[tex](x+45)^\circ[/tex].
Step-by-step explanation:
Those angles together form a full rotation. A full rotation is equal to 360 degrees.
So we have the following equation to solve:
[tex]219+(x-50)+(x+45)=360[/tex]
Combine like terms:
[tex](x+x)+(219-50+45)=360[/tex]
Simplify:
[tex]2x+(219-5)=360[/tex]
[tex]2x+214=360[/tex]
Divide both sides be 2:
[tex]x+107=180[/tex]
Subtract 107 on both sides:
[tex]x=180-107[/tex]
[tex]x=73[/tex]
