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Lesson Summary. Supplementary angles are any two angles whose measures sum to 180 degrees. Supplementary angle pairs will either be two right angles (both 90 degrees) or be one acute angle and one obtuse angle. If two angles are both supplementary to the same angle, then the two angles are of equal measure.
The consecutive interior angles theorem states that when the two lines are parallel, then the consecutive interior angles are supplementary to each other. Supplementary means that the two angles add up to 180 degrees. The theorem tells me that angles 3 and 5 will add up to 180 degrees. Angles 4 and 6 will also add up to 180 degrees because they make another pair of consecutive interior angles.