Alternate exterior angles are pairs of non-adjacent angles formed when a transversal intersects two parallel or non-parallel lines. They are found on the outer side of regions formed by intersecting parallel lines with a transversal line, positioned alternately.
Alternate exterior angles are formed when a transversal intersects two or more parallel lines at distinct points. The sum of alternate exterior angles is 180 degrees, meaning they are supplementary. They have the same orientation and are formed when a transversal crosses two (usually parallel) lines. Each pair of these angles is outside the parallel lines and on the opposite side of the transversal.
The alternate exterior angles theorem states that not all alternate exterior angles add up to 180°. If the lines they were formed from are parallel, then alternate exterior angles are congruent to each other, meaning they have the same angle measurement. However, they could have a measurement of 45° for example, in which case they do not add to 180°.
In real life applications, alternate exterior angles can be used to determine the length of a transversal line and the direction of the transversal. For example, if a transversal crosses two parallel lines, the angle θ is the alternate angle to the sum of 56° and 62°.
In summary, alternate exterior angles are pairs of non-adjacent angles formed when a transversal intersects two parallel lines at distinct points. They are formed when a transversal crosses two parallel lines and each pair of these angles is outside the parallel lines.
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Learn how to identify corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles in …
📹 Angles: Corresponding, Alternate Interior, Alternate Exterior Angles and Transversal Lines
This video is an explanation of the types of angles formed by a TRANSVERSAL line through two PARALLEL lines. The types of …
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