Question

given m||n, find the value of x.
answer attempt 1 out of 3
x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the \(156^{\circ}\) angle and the angle with measure \(x^{\circ}\) are same - side interior angles.

Step2: Apply property of same - side interior angles

Same - side interior angles of parallel lines are supplementary, so \(x + 156=180\).

Step3: Solve for \(x\)

Subtract 156 from both sides: \(x=180 - 156\).
\(x = 24\)

Answer:

24