Question

answer attempt 2 out of 2

x =
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Explanation:

Step1: Use the property of same - side exterior and interior angles

If two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), then \((9x - 6)+(x + 16)=180\) (supplementary angles).

Step2: Simplify the equation

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

Step3: Solve for \(x\)

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

Answer:

\(17\)