Question

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

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the consecutive interior angles are supplementary. So, \((8x + 8)+(7x+22)=180\).

Step2: Simplify the equation

Combine like - terms: \(8x+7x+8 + 22=180\), which gives \(15x+30 = 180\).

Step3: Solve for \(x\)

Subtract 30 from both sides: \(15x=180 - 30\), so \(15x=150\). Then divide both sides by 15: \(x=\frac{150}{15}\).

Answer:

\(x = 10\)