Question

given ( mparallel n ), find the value of x.

answer attempt 1 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 \(t\), the sum of same - side interior angles is \(180^{\circ}\). So, \((9x - 6)+(x + 16)=180\).

Step2: Simplify the equation

Combine like terms: \(9x+x-6 + 16=180\), which simplifies to \(10x+10 = 180\).

Step3: Solve for \(x\)

Subtract \(10\) from both sides: \(10x=180 - 10\), so \(10x=170\). Then divide both sides by \(10\): \(x=\frac{170}{10}=17\).

Answer:

\(17\)