Answer:
ABX is 112 degrees.
CBX is 68 degrees.
Step-by-step explanation:
Angles on a straight line always add up to 180 degrees.
Thus,
[tex](14x+70)+(20x+8)=180[/tex]
Remove brackets:
[tex]14x+70+20x+8=180[/tex]
Add up the terms:
[tex]34x+78=180[/tex]
Subtract 78 from both sides:
[tex]34x+78-78=180-78[/tex]
[tex]34x=102[/tex]
Divide both sides by 34:
[tex]\frac{34x}{34}=\frac{102}{34}[/tex]
[tex]x=3[/tex]
Angle ABX [tex]= 14x+70=14(3)+70=42+70=112[/tex]
Angle CBX [tex]=20x+8=20(3)+8=60+8=68[/tex]
