Alternate interior angles
They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
Alternate interior angles are a pair of nonadjacent angles formed by two intersecting lines and located on opposite sides of that intersection. These angles lie on opposite sides of the transversal and are interior to the parallel lines.
The important thing to note about alternate interior angles is that they have the same degree of measurement. Therefore, if one angle measures 90°, the alternate angle will also measure 90°. This property can be used to solve problems involving parallel lines and transversals.
One of the main uses of alternate interior angles is in the proof of the parallel postulate. Alternate interior angles are equal, and if two lines intersect such that the alternate interior angles are equal, then these lines must be parallel.
In summary, alternate interior angles are a pair of angles that are equal in measure, located on opposite sides of the intersection of two lines, and interior to parallel lines. They are essential to understanding the properties of parallel lines and can be used to solve various problems involving angles and the intersection of lines.
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