If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is 50°, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is:

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Less than 50°

Greater than 50°

Equal to 50°

Greater than 100°

answer is A.

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Detailed Solution

Given a straight line falls on two straight lines making interior angles 50°.
Euclid's fifth 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 180°, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is less than 180°.
Here we are given the sum of interior angles is equal to 50° which is less than 180°, so using Euclid's fifth postulate we can say that the two straight lines if produced indefinitely, meet on the side on which the sum of angles is less than 50°.
Therefore, option (1) is correct.

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