Question

question 10 of 10 given parallelogram abcd, solve for x. a (4x + 18)° b (8x + 30)° c d a. 12 b. 11 c. 13 d. 14

Explanation:

Step1: Recall property of parallelogram

Adjacent angles of a parallelogram are supplementary, so $(8x + 30)+(4x + 18)=180$.

Step2: Combine like - terms

$8x+4x+30 + 18=180$, which simplifies to $12x+48 = 180$.

Step3: Isolate the variable term

Subtract 48 from both sides: $12x=180 - 48$, so $12x=132$.

Step4: Solve for x

Divide both sides by 12: $x=\frac{132}{12}=11$.

Answer:

B. 11