Question

solve for x.

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((9x + 20)^{\circ}+92^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation: \(9x+20 + 92=180\), which is \(9x+112 = 180\).
Then, subtract 112 from both sides: \(9x=180 - 112\), so \(9x=68\).
Finally, divide both sides by 9: \(x=\frac{68}{9}\approx7.56\).

Answer:

\(x = \frac{68}{9}\)