Question

question given m || n, find the value of x. 97° (6x + 17)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the given angles \(97^{\circ}\) and \((6x + 17)^{\circ}\) are alternate - exterior angles and are equal. So, \(6x+17 = 97\).

Step2: Solve for \(x\)

Subtract 17 from both sides of the equation: \(6x=97 - 17\), so \(6x = 80\). Then divide both sides by 6: \(x=\frac{80}{6}=\frac{40}{3}\approx13.33\).

Answer:

\(x = \frac{40}{3}\)