Same-Side Interior Angles
same side of the transversal; inside parallel lines
Same-side interior angles are two angles that are on the same side of a transversal line, and are both inside of two parallel lines. They are also called same-side or consecutive interior angles. The two angles add up to 180 degrees.
For example, if two parallel lines are intersected by a transversal line, and one angle measures 60 degrees, then the same-side interior angle across from it measures 120 degrees, because 60 + 120 = 180 degrees.
Same-side interior angles have many applications in mathematics, particularly in geometry. They are used to prove theorems about parallel lines and transversals, and to solve problems involving angles and lines. Understanding the relationship between same-side interior angles is a key aspect of geometric reasoning and proofs.
To summarize, same-side interior angles are important concepts in geometry that refer to two angles that are on the same side of a transversal line and are both inside of two parallel lines. They always add up to 180 degrees and are commonly used in geometric proofs and problem-solving.
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