Question

solve for x.

x =

Explanation:

Step1: Use the property of consecutive interior angles

Since \(EF\parallel GH\) and \(CD\) is a transversal, \((3x - 11)^{\circ}+(2x + 16)^{\circ}=180^{\circ}\) (consecutive interior angles are supplementary).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\)

Subtract \(5\) from both sides: \(5x=180 - 5=175\). Then divide both sides by \(5\): \(x=\frac{175}{5}=35\).

Answer:

\(35\)