Question

solve for x.
(9x + 20)°
92°

Explanation:

Step1: Identify angle - relationship

Since the two angles \((9x + 20)^{\circ}\) and \(92^{\circ}\) are vertical angles, they are equal. So we set up the equation \(9x+20 = 92\).

Step2: Solve the equation for \(x\)

Subtract 20 from both sides of the equation: \(9x=92 - 20\), so \(9x = 72\).

Step3: Isolate \(x\)

Divide both sides of the equation \(9x = 72\) by 9. We get \(x=\frac{72}{9}=8\).

Answer:

\(x = 8\)