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Introduction to Euclid Geometry
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09/07/2021 12:04 pm
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Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
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09/07/2021 12:08 pm
Yes, Euclid’s fifth postulate does imply the existence of the parallel lines.
If the sum of the interior angles is equal to the sum of the right angles, then the two lines will not meet each other at any given point, hence making them parallel to each other.
∠1+∠3 = 180o
Or ∠3+∠4 = 180o