Question

given (mparallel n), find the value of (x). answer attempt 1 out of 2 (x =)

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the \(51^{\circ}\) angle and the \((7x + 16)^{\circ}\) angle are corresponding angles, and corresponding angles are equal. So we set up the equation \(7x+16 = 51\).

Step2: Solve the equation for \(x\)

Subtract 16 from both sides of the equation: \(7x=51 - 16\), so \(7x = 35\). Then divide both sides by 7: \(x=\frac{35}{7}\).

Answer:

\(x = 5\)