Question

look at the diagram. which equation can be used to solve for x? 8x = 66 9x + 3 = 66 12x = 66 5x + 3 = 66 solve for x. x = submit

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. Here, \(66^{\circ}\) and \((5x + 3)^{\circ}+(4x)^{\circ}\) are not vertical angles. Wait, no, actually, the angle \(66^{\circ}\) and the sum of \((5x + 3)\) and \(4x\) are vertical angles. So \(66=(5x + 3)+4x\).

Step2: Simplify the equation

Combine like - terms: \(66 = 5x+3 + 4x\), which simplifies to \(66=9x + 3\).

Step3: Solve for \(x\)

Subtract 3 from both sides: \(66-3=9x\), so \(63 = 9x\). Then divide both sides by 9: \(x=\frac{63}{9}=7\).

Answer:

\(x = 7\)