Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((5x - 11)^{\circ}\) and \((6x - 7)^{\circ}\) are supplementary (same - side interior angles). So, \((5x-11)+(6x - 7)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(5x+6x-11 - 7=180\), which gives \(11x-18 = 180\).

Step3: Isolate the variable term

Add 18 to both sides of the equation: \(11x-18 + 18=180 + 18\), resulting in \(11x=198\).

Step4: Solve for \(x\)

Divide both sides by 11: \(x=\frac{198}{11}=18\).

Answer:

\(18\)