Question

look at the diagram.
which equation can be used to solve for x?
solve for x.
x =

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. Here, \((5x + 3)+4x=66\) (because the sum of the two angles \((5x + 3)^{\circ}\) and \((4x)^{\circ}\) is equal to the angle \(66^{\circ}\) due to vertical - angle relationship). Simplify the left - hand side: \(5x+4x + 3=66\), which is \(9x+3 = 66\).

Step2: Solve the equation \(9x+3 = 66\) for \(x\)

Subtract 3 from both sides of the equation: \(9x+3-3=66 - 3\). So, \(9x=63\).
Divide both sides by 9: \(x=\frac{63}{9}\).

Answer:

\(x = 7\)