Question

If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is ${120}^o$, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is:

• A. less than ${120}^o$
• B. greater than ${120}^o$
• C. is equal to ${120}^o$
• D. greater than ${180}^o$

Answer 1

The correct option is A less than ${120}^o$

Now in order to meet line BE and DF, we need to form a triangle

Now if we consider line AB and CD it won't meet since

base angles sum is greater than 180...(x+y=120....given)

So, it will intersect only on AE and CF side

Since base angles x+y=120 less than 180

The two straight lines, if produced indefinitely meet on the side on

which the sum of angles is less than or equal to 120°