Question

given m || n, find the value of x.
(8x - 2)°
(7x + 7)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((8x - 2)^{\circ}\) and \((7x + 7)^{\circ}\) are alternate - interior angles and are equal. So, we set up the equation \(8x-2=7x + 7\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides of the equation: \(8x-7x-2=7x-7x + 7\), which simplifies to \(x-2=7\).
Then add 2 to both sides: \(x-2 + 2=7+2\).

Answer:

\(x = 9\)