Question

solve for x.

Explanation:

Step1: Find the measure of the angle adjacent to \(103^{\circ}\)

Since the sum of adjacent angles on a straight line is \(180^{\circ}\), the angle adjacent to \(103^{\circ}\) is \(180 - 103=77^{\circ}\)

Step2: Set up the equation using the property of corresponding angles

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

Step3: Solve the equation for \(x\)

Subtract \(3\) from both sides: \(4x=77 - 3\), so \(4x=74\). Then divide both sides by \(4\): \(x=\frac{74}{4}=18.5\)

Answer:

\(x = 18.5\)