Question

solve for x.

Explanation:

Step1: Identify angle - relationship

Assume the two lines are parallel. The angles \(81^{\circ}\) and \((7x - 3)^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal.

Step2: Set up the equation

Set \(7x-3 = 81\).

Step3: Solve the equation for \(x\)

Add 3 to both sides of the equation: \(7x-3 + 3=81 + 3\), which simplifies to \(7x=84\). Then divide both sides by 7: \(x=\frac{84}{7}=12\).

Answer:

\(12\)