1. Pairs of Lines and Angles
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Consider the case when the transversal is EB and when it is AG.
∠ BCG and ∠ CJH are consecutive interior angles
In this case, ∠ BCG cannot be a consecutive interior angle because it lies on the outside outside of the line. Now let's imagine that AG is the transversal.
This is ∠ BCG is between the two lines. This means that ∠ CJH will be consecutive interior angles with ∠ BCG because they are between the lines and on the same side of the transversal.