Question

1. (6x + 30)° m (11x)° n 6x+30 = 11x

Explanation:

Step1: Set up the equation

Given \(6x + 30=11x\) based on the properties of parallel - lines (corresponding angles or alternate exterior angles are equal if the lines are parallel).

Step2: Isolate the variable \(x\)

Subtract \(6x\) from both sides of the equation: \(30 = 11x-6x\).

Step3: Simplify the right - hand side

\(11x - 6x=5x\), so the equation becomes \(30 = 5x\).

Step4: Solve for \(x\)

Divide both sides by 5: \(x=\frac{30}{5}=6\).

Answer:

\(x = 6\)