Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((10x - 13)^{\circ}\) and \((9x + 1)^{\circ}\) are alternate - interior angles, and alternate - interior angles are equal. So we set up the equation \(10x-13=9x + 1\).

Step2: Solve the equation for \(x\)

Subtract \(9x\) from both sides of the equation: \(10x-9x-13=9x-9x + 1\), which simplifies to \(x-13 = 1\). Then add 13 to both sides: \(x-13 + 13=1 + 13\).

Answer:

\(x = 14\)