Question

the lines a and b are parallel. what is the value of x based on the following angles?
(8x + 142)°
(9x + 89)°

Explanation:

Step1: Use the property of alternate - exterior angles

Since lines \(A\) and \(B\) are parallel, the alternate - exterior angles are equal. So, \(8x + 142=9x + 89\).

Step2: Solve the equation for \(x\)

Subtract \(8x\) from both sides of the equation:
\(8x+142 - 8x=9x + 89-8x\)
\(142=x + 89\)
Then subtract \(89\) from both sides:
\(x=142 - 89\)

Answer:

\(x = 53\)