figure lmno is a parallelogram. what is the value of x? (3x)° (8x - 40)° o 8 o 10 o 13 o 20

Answer:

8

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, adjacent angles are supplementary, so $\angle M+\angle N = 180^{\circ}$.

Step2: Set up the equation

$3x+(8x - 40)=180$.

Step3: Combine like - terms

$3x+8x-40 = 180$, which simplifies to $11x-40 = 180$.

Step4: Add 40 to both sides

$11x-40 + 40=180 + 40$, getting $11x=220$.

Step5: Solve for x

Divide both sides by 11: $x=\frac{220}{11}=8$.