## One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than t

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One of the same-side exterior anglesformed by two lines and a transversal is equal to 1/6 of the right angle and is11 times smaller than the other angle. Then the lines are parallelSolution:Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to

prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

And now, 15 degrees is 11 times smaller than the other

Then

other angle = 11 times of 15 degrees

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their

sum is 180 degrees. So the lines are parallel.Hence, the

given lines are parallel