What is the name of the relationship between 1 and 4?
Parallel Lines and Transversals
alternate interior angles
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think of these two parallel lines as walls of a house
the angles 1,2,3,4 are called "interior angles" because they are on the inside of the two walls, ie sandwiched between them
we use the term "same side interior angles" to mean the interior angles lie on the same side of the transversal
so one example of "same side interior angles" is the pair angle 1 and angle 3 (boxed above)
so what relationship does angle 1 have with angle 4?
B. alternate interior angles?
angle 1 is on one side, angle 4 is on the opposite side
you can think of it as 2 rooms: angle 1 is in one room, angle 4 is in another room