Question

ABC is a straight angle. Find m ABX and m CBX . (14x +70) (20x+8)​

Answer 1

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,

$(14x+70)+(20x+8)=180$

Remove brackets:

$14x+70+20x+8=180$

Add up the terms:

$34x+78=180$

Subtract 78 from both sides:

$34x+78-78=180-78$

$34x=102$

Divide both sides by 34:

$\frac{34x}{34}=\frac{102}{34}$

$x=3$

Angle ABX $= 14x+70=14(3)+70=42+70=112$

Angle CBX $=20x+8=20(3)+8=60+8=68$