Question

question 8 of 10 if liar is a parallelogram, what is the value of x? a. 38 b. 42 c. 82 d. 20 e. 71.5 f. 35

Explanation:

Step1: Recall property of parallelogram

Adjacent angles in a parallelogram are supplementary, so $\angle L+\angle I = 180^{\circ}$.

Step2: Set up the equation

We know $\angle L = 37^{\circ}$ and $\angle I=(7x + 3)^{\circ}$, then $37+(7x + 3)=180$.

Step3: Simplify the left - hand side

Combine like terms: $40+7x=180$.

Step4: Solve for x

Subtract 40 from both sides: $7x=180 - 40=140$. Then divide both sides by 7: $x=\frac{140}{7}=20$.

Answer:

D. 20