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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 = 15 x = 65 x = 95 x = 115

Explanation:

Step1: Recall angle - relationship rule

When two parallel lines are cut by a transversal, corresponding angles are congruent. The angle of measure $115^{\circ}$ and the angle of measure $x^{\circ}$ are corresponding angles.

Step2: Set up the equation

Since corresponding angles are equal, we have $x = 115$.

Answer:

$x = 115$