QUESTION IMAGE
Question
in the figure to the right, line m and line n are parallel. determine whether the given angles are congruent or supplementary. ∠c and ∠1. identify whether the pair of angles is congruent or supplementary. supplementary angles congruent angles
Step1: Recall angle - relationships of parallel lines
When two parallel lines are cut by a transversal, corresponding angles are congruent, alternate - interior angles are congruent, alternate - exterior angles are congruent, and same - side interior angles are supplementary.
Step2: Identify the relationship of ∠c and ∠1
∠c and ∠1 are corresponding angles. Since line m and line n are parallel and are cut by a transversal, corresponding angles are congruent.
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congruent angles