Question

solve for x.
(13x - 5)°
125°
x = □

Explanation:

Step1: Identify angle - relationship

The angles \(125^{\circ}\) and \((13x - 5)^{\circ}\) are corresponding angles. Since \(L\parallel N\) and \(M\parallel O\), corresponding angles are equal. So we set up the equation \(13x-5 = 125\).

Step2: Solve the equation for \(x\)

Add 5 to both sides of the equation: \(13x-5 + 5=125 + 5\), which simplifies to \(13x=130\).

Step3: Isolate \(x\)

Divide both sides of the equation \(13x = 130\) by 13: \(x=\frac{130}{13}\).

Answer:

\(x = 10\)