Question

using Euclid postulate 5 show that there exists a line parallel to a given line​

Answer 1

Answer:

Euclid's 5th postulate states that: 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.

Answer 2

Postulate 5:

postIf a straight line falling on two straight h makes the interior angles on the same side taken together less than two straight lines , if produced indefinitely, meet on the same meet side on which the sum of the angles is less than two right angles

This postulate is not as obious

as others. It requires demonstration

In the figure, AB and CD are two. lines PQ is less than two right angles i.e. if x+y<2 right angles then, the two lines AB and CD when produced indrfinitely will meet on the left side of PQ.