9th Maths 5.2
NCERT Class 9th solution of Exercise 5.1
Exercise 5.2
Q1. How would you rewrite Euclid's fifth postulate so that it would be easier to understand?
Answer :
If a straight line intersects two other straight lines and the sum of the two interior angles formed on the same side is less than two right angles (180°) then the two-line are intersecting lines.
Q2. Does Euclid's fifth postulate imply the existence of parallel lines? Explain.
Answer :
If a straight line l falls on two straight lines m and n such that sum of the interior angles on one side of l is two right angles, then by Euclid's fifth postulate the line will not meet on this side of l. Next, you know that the sum of the interior angles on the other side of line l will also be two right angles. Therefore, they will not meet on the other side also. So, the lines m and n never meet and are, therefore, parallel.
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