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Fifth Postulate and Playfair's Axiom

Does Euclid's...

Question

Does Euclid's fifth postulate imply the existence of parallel lines? Explain.

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Solution

The sum of the interior angles will be equal to sum of the two right angles then two lines will not meet each other on either sides and therefore they will be parallel to each other.

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NCERT - Standard IX

Fifth Postulate and Playfair's Axiom

Standard IX Mathematics

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