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The proofs of basic Eucledian theories?

when two parallel lines are intersected by a transversal,

i) alternate interior angles are equal

ii) corresponding angles are equal

iii) same side interior angles are supplementary

how to prove the above?

(I found some proofs in the internet. But they can not be accepted. Because they use theorem ( i ) to prove theorem ( ii ) and again theorem ( ii ) to prove theorem ( i ). So I want to find an independent proof.)

Thank you

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