Question

question given m || n, find the value of x. answer attempt 2 out of 5 (7x - 15)° 97°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the angle \((7x - 15)^{\circ}\) and the \(97^{\circ}\) angle are corresponding angles (or alternate - exterior angles depending on the transversal), and they are equal. So we set up the equation \(7x-15 = 97\).

Step2: Solve the equation for \(x\)

Add 15 to both sides of the equation: \(7x-15 + 15=97 + 15\), which simplifies to \(7x=112\). Then divide both sides by 7: \(x=\frac{112}{7}=16\).

Answer:

\(x = 16\)