Question

given parallelogram mnop below, pq = 76. if qn = x + 8, solve for x.

Explanation:

Step1: Use property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(PQ = QN\).

Step2: Set up the equation

Since \(PQ = 76\) and \(QN=x + 8\), we have the equation \(x+8=76\).

Step3: Solve for \(x\)

Subtract \(8\) from both sides of the equation: \(x=76 - 8\).

Answer:

\(x = 68\)