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two parallel lines are crossed by a transversal. what is the value of x…

Question

two parallel lines are crossed by a transversal. what is the value of x? x = 45 x = 65 x = 95 x = 115

Explanation:

Step1: Recall the property of alternate interior angles

When two parallel lines are cut by a transversal, alternate interior angles are equal.

Step2: Identify the relationship between the given angles

In the given figure, the angle of \(115^{\circ}\) and \(x^{\circ}\) are alternate interior angles.

Answer:

\(x = 115\)