Question

solve for x.

x =
submit

Explanation:

Step1: Use the property of corresponding angles

Since \( RS\parallel TU\), the angle \((4x - 3)^{\circ}\) and the angle \(123^{\circ}\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So we have the equation \(4x-3 = 123\).

Step2: Solve the equation for \(x\)

Add \(3\) to both sides of the equation:
\(4x-3 + 3=123 + 3\)
\(4x=126\)
Divide both sides by \(4\):
\(x=\frac{126}{4}=31.5\)

Answer:

\(31.5\)