Question

given m||n, find the value of x.
(8x + 9)°
(7x + 30)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((8x + 9)^{\circ}\) and \((7x+30)^{\circ}\) are alternate - interior angles, and alternate - interior angles are equal. So we set up the equation \(8x + 9=7x + 30\).

Step2: Solve the equation

Subtract \(7x\) from both sides of the equation: \(8x-7x+9=7x - 7x+30\), which simplifies to \(x+9 = 30\). Then subtract 9 from both sides: \(x=30 - 9\).

Answer:

\(x = 21\)