Study the following statement: "Two intersecting lines cannot be perpendicular to the same line". Check whether it is an equivalent version to the Euclid's fifth postulate.

Question

TextEuclid's Fifth Postulate on Parallel LinesNCERT Exemplar

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Euclid's fifth postulate is

Two distinct intersecting lines cannot be parallel to the same line.

Attempts to prove Euclid's fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

In Fig. 1, according to Euclid's 5th postulate, the pair of angles, having the sum less than 180° is: