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1. <2 and <5 are supplementary - 1. Given
The first statement is the given. 3 is equal to 2 because they are vertical angles. 3 and 5 are supplementary because they are the same side interior angles. l is parallel to m because of some theorem, can't remember the exact name, but it states that if the same side interior angles add up to 180, then the lines must be parallel.
, if <2 + <5 = 180, and <5+<6 = 180( by definition), so, <2 = <6, and by thales theorem, l must be paralel to m
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