This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Relationships Among Special Angle Pairs
In this mini-lesson you will learn with the help of video about three important special angle relationships.
- Alternate interior angles are pairs of congruent angles on opposite sides of the transversal and between the parallel lines.
- Alternate exterior angles are pairs of congruent angles on opposite sides of the transversal, outside of the space between the parallel lines.
- Corresponding angles are congruent angles on the same side of the transversal. Out of the two corresponding angles, one will be between the parallel lines, and the other will be outside the parallel lines.
In case two parallel lines are intersected by a transversal, alternate angles are congruent; same-side interior angles are supplementary; corresponding angles are congruent. E.g. If line t is a transversal line and line n is parallel to line p, then:
Alternate interior angles: m
2 = m
Same-side interior angles: m
3 = 180°, m
2 + m
4 = 180°
Corresponding angles: m
2 = m
4 = m
For example: if line m || line n, and m
3 = 51°; then m
5 is 129°, since m
3 and m
5 are same side interior angles and the sum of angles is 180°.
This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.