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angles & parallel lines. given (mparallel n), find the value of (x). an…

Question

angles & parallel lines. given (mparallel n), find the value of (x). answer. attempt 2 out of 2. submit answer

Explanation:

Step1: Identify angle - relationship

When two parallel lines \(m\) and \(n\) are cut by a transversal, the given \(76^{\circ}\) angle and the angle measuring \(x^{\circ}\) are alternate - interior angles.

Step2: Apply the property of alternate - interior angles

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So \(x = 76\).

Answer:

\(76\)