Question

solve for x.

Explanation:

Step1: Identify angle - relationship

The angles \(81^{\circ}\) and \((7x - 3)^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are congruent. So, we set up the equation \(7x-3 = 81\).

Step2: Solve the equation for \(x\)

Add 3 to both sides of the equation: \(7x-3 + 3=81 + 3\), which simplifies to \(7x=84\).

Step3: Isolate \(x\)

Divide both sides of the equation \(7x = 84\) by 7: \(\frac{7x}{7}=\frac{84}{7}\), so \(x = 12\).

Answer:

\(12\)