Question

question 5 of 10 given ☐nelr, solve for x. n (7x + 33)° e (11x + 21)° r l a. 7 b. 8 c. 5 d. 6

Explanation:

Step1: Recall property of parallelogram

In parallelogram NELR, adjacent angles are supplementary, so $(7x + 33)+(11x + 21)=180$.

Step2: Combine like - terms

$7x+11x+33 + 21=180$, which simplifies to $18x+54 = 180$.

Step3: Isolate the variable term

Subtract 54 from both sides: $18x=180 - 54$, so $18x=126$.

Step4: Solve for x

Divide both sides by 18: $x=\frac{126}{18}=7$.

Answer:

A. 7