Question

if a line perpendicular to one of the two given parallel lines then prove that it is also perpendicular to the other line

Answer 1

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Answer 2

Answer:

If we are given two lines 'a' and 'b' which are parallel to each other.

And,

A line 'c' which is perpendicular to the line 'a'.

Then, for if, we can say that as the lines 'a' and 'b' are parallel.

Any line 'c' which makes an angle of 90 degree with the line 'a' we can say from the property of the corresponding angles.

That the angle made by the line 'c' with the line 'b' will also be equal to 90 degree.

Hence, Proved.