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, \(x + 57=180\)

Step2: Solve the equation for \(x\)

Subtract \(57\) from both sides of the equation \(x + 57=180\).
\(x=180 - 57\)
\(x = 123\)

Answer:

\(123\)