Same side interior angles
two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Same side interior angles refer to a pair of angles that are located on the same side of a transversal line that intersects two parallel lines. These angles are formed by a pair of parallel lines that are intersected by a transversal line.
When the two parallel lines are cut by a transversal, eight angles are formed. Same side interior angles are adjacent angles that are positioned on the same side of the transversal line. In other words, they are angles that are located between the two parallel lines on the same side of the transversal line.
Same side interior angles are supplementary, which means that they add up to 180 degrees. This is true for all pairs of same side interior angles that are formed when a transversal crosses two parallel lines.
For example, if we have two parallel lines (line A and line B) and a transversal line (line C) that intersects them, angles 3 and 5 are same side interior angles as shown in the diagram below.
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Angle 3 and angle 5 are same side interior angles because they are located on the same side of the transversal line C and between the parallel lines A and B. If we add these two angles, we get 180 degrees: Angle 3 + Angle 5 = 180 degrees.
Therefore, same side interior angles are important in geometry because they help us to make predictions about the measurements of other angles formed by the same parallel lines and transversals.
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