Question

solve for x.

x =

submit

Explanation:

Step1: Use the property of alternate exterior angles

Since the lines \( S \) and \( U \) are parallel, the angles \((59 - 2x)^{\circ}\) and \((64 - 3x)^{\circ}\) are alternate exterior angles. Alternate exterior angles are equal. So, \(59 - 2x=64 - 3x\).

Step2: Solve the equation for \(x\)

Add \(3x\) to both sides of the equation: \(59 - 2x+3x=64 - 3x+3x\), which simplifies to \(59 + x=64\).
Then subtract \(59\) from both sides: \(x=64 - 59\).

Answer:

\(x = 5\)