Question

solve for x.

x =

Explanation:

Step1: Use the property of corresponding angles

Since \(CD\parallel EF\), the angle \((4x + 3)^{\circ}\) and the angle adjacent to \(103^{\circ}\) (which is \(180^{\circ}- 103^{\circ}=77^{\circ}\)) are corresponding angles. So \(4x+3 = 77\).

Step2: Solve the equation for \(x\)

Subtract \(3\) from both sides of the equation \(4x+3 = 77\):
\(4x=77 - 3\)
\(4x=74\)
Divide both sides by \(4\):
\(x=\frac{74}{4}=18.5\)

Answer:

\(18.5\)