MP Board Class 9th Maths Solutions Chapter 5 Introduction to Euclid’s Geometry Ex 5.2
How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?
If a line p intersects two lines l and m such that (∠1 + ∠2) is less than 180°, then lines l and m will meet at O, as shown in Fig. below.
Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
Yes, Euclid’s fifth postulate is important to express parallel lines. Two lines will never meet if they are not according to Euclid’s fifth postulate.