Question

question 4 of 10 if liar is a parallelogram, what is the value of x? a. 35 b. 82 c. 71.5 d. 38 e. 42 f. 20

Explanation:

Step1: Recall property of parallelogram

Adjacent - angles of a parallelogram are supplementary, so \(37+(7x + 3)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(37+3+7x=180\), which gives \(40 + 7x=180\).

Step3: Isolate the variable term

Subtract 40 from both sides: \(7x=180 - 40\), so \(7x=140\).

Step4: Solve for x

Divide both sides by 7: \(x=\frac{140}{7}=20\).

Answer:

F. 20