Question

which equation would you use to solve for x?*

Explanation:

Step1: Recall the property of consecutive angles in a parallelogram

In a parallelogram, consecutive angles are supplementary. That is, they add up to \(180^{\circ}\).

Step2: Identify the consecutive angles

\(\angle C=(x + 6)^{\circ}\) and \(\angle B=(3x + 14)^{\circ}\) are consecutive angles.

Step3: Set up the equation

Since consecutive angles in a parallelogram are supplementary, we have \((x + 6)+(3x + 14)=180\).

Answer:

\(x + 6+3x + 14 = 180\)