Question

How would you rewrite Euclid's 5th postulate so that it would be easier to understand? Does Euclid's fifth postulate imply the existence of parallel lines? Explain.

Answer 1

Answer:

BTW,Euclid's 5th postulate is the easiest of all if you understand it clearly.

Step-by-step explanation:

His Postulate states simply that when two horizontal lines,which run through another vertical line makes an angle of less than 2 right angles i.e. less than 180 degress, they meet at a point when the 2 lines are extended at the side where the angles are less than 2 right angles.

Answer 2

$\sf\orange{Answer :}$

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., the Euclid’s fifth postulate is about parallel lines.

Parallel lines are the lines which 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 the line A then we can draw a line through X which will be parallel to that of the line A.

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