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Sonam11111
@Sonam11111
July 2022
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If two lines are perpendicular to the same line, prove that they are parallel to each other !
Tell me full explanation
Answers & Comments
rohitkumargupta
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.
I HOPE ITS HELP YOU DEAR,
THANKS
1 votes
Thanks 7
Sonam11111
Thanku so much Rohit!!
rohitkumargupta
welcome dear
Sonam11111
Hmmm
rohitkumargupta
so plz mark as brainiest if possible
rohitkumargupta
thanks dear
Sonam11111
Wlcm
rohitkumargupta
hnn
Sonam11111
Okk
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Answers & Comments
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.
I HOPE ITS HELP YOU DEAR,
THANKS