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, \((5x + 2)+(x - 2)=180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(5x+2+x - 2=180\). Combine like terms: \((5x+x)+(2 - 2)=180\), which gives \(6x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(6x = 180\) by \(6\): \(x=\frac{180}{6}\).

Answer:

\(x = 30\)