Question

given ( mparallel n ), find the value of x. answer attempt 1 out of 2 ( x= )

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((9x + 9)^{\circ}\) and \((4x+15)^{\circ}\) are supplementary. So, \((9x + 9)+(4x + 15)=180\).

Step2: Simplify the equation

Combine like - terms: \(9x+4x+9 + 15=180\), which gives \(13x+24 = 180\).

Step3: Solve for \(x\)

Subtract \(24\) from both sides: \(13x=180 - 24\), so \(13x=156\). Then divide both sides by \(13\): \(x=\frac{156}{13}=12\).

Answer:

\(x = 24\)