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Q.

How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?

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Detailed Solution

Euclid’s fifth postulate: If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

i.e., Euclid’s fifth postulate is about parallel lines.

Parallel lines are the lines that do not intersect each other ever and are always at a constant perpendicular distance apart from each other. Parallel lines can be two or more lines.

A: If X does not lie on line A then we can draw a line through X which will be parallel to that of line A.

B: There can be only one line that can be drawn through point X which is parallel to line A.

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