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. Does Euclid’s fifth postulate imply the existence of parallel lines? Explain. Q.2

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How i solve this tricky question of ncert class 9th chapter of introduction to euclid’s geometry . Give me the best solution of exercise 5.2 question number 2 . Find the best and simplest solution of this tricky question give me the easiest method of this question.Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.

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  1. 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.

    Ncert solutions class 9 chapter 5-5

    ∠1+∠3 = 180o

    Or  ∠3+∠4 = 180o

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