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Question
what do you notice about the angles now that the lines are parallel? angles that are in the same relative position are? to each other. congruent not congruent
Step1: Analyze the relationship between angles
When two parallel lines are cut by a transversal, angles in the same relative position (corresponding angles) are congruent.
Step2: Check the given angles
In the diagram, the \(50^{\circ}\) angles are in the same relative position (corresponding angles) and are congruent. The \(130^{\circ}\) angles are also in the same relative position (corresponding angles) and are congruent.
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Angles that are in the same relative position (corresponding angles) are congruent to each other.