And line t is the transversal line intersecting lines a and b.

Same interior angles.
4 and 5 are on the same side of that transversal.
Same side interior angles theorem.
Angles 4 and 5 indicated in green are also same side interior angles.
Angles 3 and 6 indicated in pink are same side interior angles.
In the applet below a transversal intersects 2 parallel lines.
A demonstration on same side interior and same side exterior angles.
Here youll learn what same side interior angles are and their relationship with parallel lines.
When this happens there are 2 pairs of same side interior angles that are formed.
So if two parallel lines are intersected by a transversal then same side ill say interior since this is in between angles are supplementary.
Same side interior angles are the angle pairs that are on the insides of the two lines the interior and on the same side of the transversal a experior angle of a triangle is to the 2 opposit.
This video shows how to work step by step through one or more of the examples in same side interior.
If you like this proof then check out my channel to see other proofs of geometric.
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