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9. m 2x + 88 13x v w x =

Question

  1. m 2x + 88 13x v w x =

Explanation:

Step1: Set up equation

Assume the two - parallel lines are cut by a transversal. The angles \(2x + 88\) and \(13x\) are corresponding angles (assuming the lines \(v\) and \(w\) are parallel). Corresponding angles are equal when two parallel lines are cut by a transversal. So we set up the equation \(2x+88 = 13x\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides of the equation: \(88=13x - 2x\). Simplify the right - hand side to get \(88 = 11x\). Then divide both sides by 11: \(x=\frac{88}{11}=8\).

Answer:

\(x = 8\)