Question

gonzales, julius lhs geo u3 fa #3 parallel lines & x 2x - 3 y x = y =

Explanation:

Step1: Assume vertical - angle relationship

If the two lines are parallel and the angles \(x\) and \(2x - 3\) are vertical angles (or corresponding angles, alternate - interior angles etc., assuming the appropriate parallel - line angle postulate), then \(x=2x - 3\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(0 = 2x-3 - x\), which simplifies to \(x = 3\).

Step3: Find the value of \(y\)

If \(x\) and \(y\) are supplementary (a common relationship for angles formed by a transversal with parallel lines), and \(x = 3\), then \(y=180 - x\). So \(y = 180-3=177\).

Answer:

\(x = 3\)
\(y = 177\)