Question

given m||n, find the value of x. (8x - 27)° (7x - 4)°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the two given angles \((8x - 27)^{\circ}\) and \((7x - 4)^{\circ}\) are corresponding angles, and corresponding angles are equal. So we set up the equation \(8x-27 = 7x - 4\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides of the equation: \(8x-7x-27=7x - 7x-4\), which simplifies to \(x-27=-4\).
Then add 27 to both sides: \(x-27 + 27=-4 + 27\).

Answer:

\(x = 23\)