Question

solve for x. each figure is a parallelogram 11) z y 80° 11x - 10 w x

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, consecutive angles are supplementary. So, \(80^{\circ}+(11x - 10)^{\circ}=180^{\circ}\).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\)

Subtract \(70\) from both sides: \(11x=180 - 70\), so \(11x=110\). Then divide both sides by \(11\): \(x=\frac{110}{11}\).

Answer:

\(x = 10\)