'a' is parallel to 'b' because both agree with the same - side exterior theorem
What is the same - side theorem?
It states that when two parallel lines are cut by a third intersecting line (transversal line), eight angles are formed and these angles form different relationships with each other, called same-side exterior.
Same-side tells us that exterior tells us that both angles are exterior, or outside, of the parallel lines.
In the figure, angles a, b, c, and d are exterior to the parallel lines.
We can then say that;
a is parallel to b because both agree with the same - side exterior theorem
Hence, 'a' is parallel to 'b' because both agree with the same - side exterior theorem
Learn more about transversal lines here:
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