Question

given m || n, find the value of x. (6x + 14)° (5x + 12)° answer attempt 1 out of 2 x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two angles \((6x + 14)^{\circ}\) and \((5x+12)^{\circ}\) are same - side interior angles, and same - side interior angles are supplementary, so \((6x + 14)+(5x + 12)=180\).

Step2: Simplify the equation

Combine like terms: \(6x+5x+14 + 12=180\), which gives \(11x+26 = 180\).

Step3: Solve for \(x\)

Subtract 26 from both sides: \(11x=180 - 26\), so \(11x=154\). Then divide both sides by 11: \(x=\frac{154}{11}=14\).

Answer:

\(x = 14\)