Question

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

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve the equation for \(x\)

Subtract \(9x\) from both sides of the equation:
\(9x+1-9x=10x - 13-9x\)
\(1=x - 13\).
Then add 13 to both sides: \(1 + 13=x-13 + 13\).
\(x=14\).

Answer:

\(14\)