Question

given m||n, find the value of x. (8x - 2)° (9x - 14)° answer attempt 2 out of 2 x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((8x - 2)^{\circ}\) and \((9x-14)^{\circ}\) are alternate - interior angles, and alternate - interior angles are equal. So we set up the equation \(8x - 2=9x - 14\).

Step2: Solve the equation for \(x\)

First, subtract \(8x\) from both sides: \(-2=x - 14\).
Then, add 14 to both sides: \(x=12\).

Answer:

\(x = 12\)