Question

given m||n, find the value of x. answer attempt 1 out of 2 x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((5x + 23)^{\circ}\) and \((6x-4)^{\circ}\) are alternate - interior angles and are equal. So we set up the equation \(5x + 23=6x - 4\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation: \(5x+23-5x=6x - 4-5x\), which simplifies to \(23=x - 4\).
Then add 4 to both sides: \(23 + 4=x-4 + 4\), so \(x=27\).

Answer:

\(27\)