Question

solve for x.

x =

submit

Explanation:

Step1: Use the property of vertical angles

Since \( \angle PTU\) and \( \angle RUS\) are vertical angles, \(2x + 122=154 - 2x\)

Step2: Solve the equation for \(x\)

Add \(2x\) to both sides: \(2x+2x + 122=154-2x + 2x\), which gives \(4x+122 = 154\)
Subtract \(122\) from both sides: \(4x+122-122=154 - 122\), so \(4x=32\)
Divide both sides by \(4\): \(x=\frac{32}{4}\)

Answer:

\(8\)