Question

If two lines are perpendicular to the same line, prove that they are parallel to each other !


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Answer 1

HELLO DEAR

we know that if a transversal cut two different lines and sum of corresponding angle is equal to 180°

THEN,
THE TWO TWO GIVEN LINES ARE SAID TO BE PARALLEL TO EACH OTHER

HERE,WE HAVE BOTH THE STRAIGHT LINES PERPENDICULAR TO THE SAID TRANSVERSAL LINE,

SO ANGLE MADE BY EACH ANGLE ON TRANSVERSAL IS EQUAL TO 90°


THEREFORE, SUM OF ANGEL MADE BY THEM ON THE TRANSVERSAL IS EQUAL TO
=>90° +90° =180°


HENCE,BOTH THE GIVEN LINES ARE PARALLEL TO EACH OTHER.

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