Question

solve for x.

x =
submit

Explanation:

Step1: Apply the property of alternate interior angles

Since \( RS\parallel TU\), the angles \((8x - 31)^{\circ}\) and \((5x + 17)^{\circ}\) are equal. So, \(8x-31 = 5x + 17\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(8x-5x-31=5x - 5x+17\), which simplifies to \(3x-31 = 17\).
Add \(31\) to both sides: \(3x-31 + 31=17 + 31\), so \(3x=48\).
Divide both sides by \(3\): \(x=\frac{48}{3}\).

Answer:

\(x = 16\)