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given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…

Question

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

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines \(m\parallel n\) are cut by a transversal, the sum of adjacent angles on the same side of the transversal is \(180^{\circ}\). So, \(x + 58=180\).

Step2: Solve for \(x\)

Subtract \(58\) from both sides of the equation \(x + 58=180\).
\(x=180 - 58\).
\(x = 122\).

Answer:

\(122\)