Question

solve for x.
r (4x - 3)° v s
t w u 123°
x =
submit

Explanation:

Step1: Identify angle - relationship

Assume \(RS\parallel TU\), then \((4x - 3)^{\circ}\) and \(123^{\circ}\) are corresponding angles or alternate - exterior angles (depending on parallel lines), and they are equal. So we set up the equation \(4x-3 = 123\).

Step2: Solve the equation for \(x\)

Add 3 to both sides of the equation: \(4x-3 + 3=123 + 3\), which simplifies to \(4x=126\). Then divide both sides by 4: \(x=\frac{126}{4}=\frac{63}{2}=31.5\).

Answer:

\(31.5\)