Question

solve for x.

x =

Explanation:

Step1: Use the property of corresponding angles

Since \( RS\parallel TU\), the corresponding angles \( (59 - 2x)^{\circ}\) and \( (64 - 3x)^{\circ}\) are equal. So we have the equation \(59 - 2x=64 - 3x\).

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:

\(x = 5\)