Question

the image shows parallel lines cut by a transversal. the expressions represent unknown angle measurements. what is the value of x? a 59 b 65 c 77 d 83

Explanation:

Step1: Set up the equation

Since the lines are parallel and cut by a transversal, the angles \(x + 43\) and \(2x-34\) are equal. So, \(x + 43=2x - 34\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides: \(43=x - 34\).
Then add \(34\) to both sides: \(x=43 + 34=77\).

Answer:

C. 77