Question

practice d: (first taught in lesson 52) find x in parallelogram artv. after you enter your answer press go. x =

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, consecutive angles are supplementary. So, \((6x + 26)+5x=180\).

Step2: Simplify the equation

Combine like - terms: \(6x+5x+26 = 180\), which gives \(11x+26=180\).

Step3: Solve for \(x\)

Subtract 26 from both sides: \(11x=180 - 26\), so \(11x=154\). Then divide both sides by 11: \(x=\frac{154}{11}\).

Answer:

\(x = 14\)