Question

question
given ( m | n ), find the value of ( x ).
answer attempt 1 out of 2

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: \(13x+24 = 180\).

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:

\(x = 18\)