alternate interior angles
Angles that lie within a pair of lines and on opposite sides of a transversal.
Alternate interior angles are a type of angles formed when a transversal line intersects two parallel lines. Alternate interior angles are defined as angles that are on opposite sides of the transversal line and inside the two parallel lines.
In the figure below, lines l and m are parallel and transversal line n crosses them. In this diagram, angles 3 and 5 are alternate interior angles.
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3 | 4
______|_________
—–n———
______|_________
5 | 6
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__|__
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l|m
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The key characteristic of alternate interior angles is that they are congruent. Therefore, if angles 3 and 5 are alternate interior angles, then they have the same measure and can be represented as follows:
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angle 3 = angle 5
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Finally, it is important to note that alternate interior angles are not the only angles formed when a transversal intersects two parallel lines. Other types of angles include corresponding angles, alternate exterior angles, and consecutive interior angles.
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