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QUESTION IMAGE

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

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 \(58^{\circ}\) angle and the angle with measure \(x^{\circ}\) are alternate - interior angles.

Step2: Apply parallel - line property

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So \(x = 58\).

Answer:

\(x = 58\)