What is Euclid's 5th postulate?
Euclid’s fifth postulate: If a straight line falling on two straight lines forms the interior angles that together measure less than two right angles on the same side of it, then the two straight lines, if produced indefinitely, meet on that side on which the sum of the angles is less than two right angles.
According to this postulate, if the sum of two angles A and B (refer figure) formed by a line l and two other lines l 1 and l 2 is less than two right angles (i.e., A + B < 180⁰), then lines l 1 and l 2 meet on the same side of angles A and B when extended indefinitely.
To understand the Euclid’s fifth postulate, go through the study material and the videos;
Class IX >> Chapter 5 – Introduction to Euclid Geometry >> Study Material: >> Lesson 4: Euclid's Fifth Postulate
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In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It states that, in two dimensional geometry:
If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles.
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