Question

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

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(l\), the sum of same - side interior angles is \(180^{\circ}\). So, \((9x + 4)+(2x+22)=180\).

Step2: Simplify the equation

Combine like terms: \(9x+2x+4 + 22=180\), which simplifies to \(11x+26 = 180\).

Step3: Solve for \(x\)

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

Answer:

\(x = 14\)