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Suppose two parallel lines are out by a transversal. Which angles MUST be supplementary? A vertical angles B corresponding angles C alternate exterior angles D alternate interior angles E consecutive interior angles

Ask by Wilson Daniel. in the United States
Jan 23,2025

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Consecutive interior angles must be supplementary.

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When two parallel lines are cut by a transversal, the angles that must be supplementary are the consecutive interior angles (E). These angles are located on the same side of the transversal and between the two parallel lines, and their measures always add up to 180 degrees. Additionally, it's fun to note that alternate exterior angles (C) and alternate interior angles (D) are actually equal when the lines are parallel, which is a useful property in geometry. Meanwhile, corresponding angles (B) also shine brightly by being equal, thus showcasing the relationship between angles and parallel lines!

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