Question

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

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle \((5x + 3)^{\circ}\) and the \(66^{\circ}\) angle are vertical angles.

Step2: Set up the equation

Since vertical angles are equal, we have the equation \(5x+3 = 66\).

Step3: Solve the equation for \(x\)

Subtract 3 from both sides: \(5x=66 - 3\), so \(5x=63\). Then divide both sides by 5: \(x=\frac{63}{5}=12.6\).

Answer:

The equation is \(5x + 3 = 66\), \(x = 12.6\)