Question

figure lmno is a parallelogram. what is the value of x? 8 10 13 20

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, consecutive angles are supplementary. So, \(3x+(8x - 40)=180\).

Step2: Simplify the equation

Combine like - terms: \(3x+8x-40 = 180\), which gives \(11x-40=180\).

Step3: Solve for \(x\)

Add 40 to both sides: \(11x=180 + 40\), so \(11x=220\). Then divide both sides by 11: \(x=\frac{220}{11}=20\).

Answer:

\(20\)