Question

solve for x.

x =
submit

Explanation:

Step1: Identify angle - relationship

Assume the angles are corresponding or alternate - interior (since no other information is given and for parallel lines \(RS\) and \(TU\) cut by transversal \(PQ\), these angles are equal). So, \(15x + 8=9x + 26\).

Step2: Isolate \(x\) terms

Subtract \(9x\) from both sides: \(15x-9x + 8=9x-9x + 26\), which simplifies to \(6x+8 = 26\).

Step3: Isolate the constant term

Subtract 8 from both sides: \(6x+8 - 8=26 - 8\), getting \(6x=18\).

Step4: Solve for \(x\)

Divide both sides by 6: \(\frac{6x}{6}=\frac{18}{6}\), so \(x = 3\).

Answer:

3