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Prove that two lines perpendicular to...

Prove that two lines perpendicular to the same line are parallel to each other.

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If a transversal cuts two lines and if the sum of the corresponding angles are equal, then the two given lines are parallel to each other.
In the given case, Both the lines are perpendicular to the transversal.
So, the corresponding angles are equal to `90` degrees.
Hence, both the given lines are parallel to each other.
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RD SHARMA-LINES AND ANGLES -All Questions
  1. In Figure , State which lines are parallel and why.

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  2. In Figure, if 1 m , n p and /1=85^@ , find /2

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  3. Prove that two lines perpendicular to the same line are parallel to...

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  4. Prove that if the two arms of an angle are perpendicular to the two...

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  5. In Figure, A B C D and P is any point shown in the figure. Prove th...

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  6. Two unequal angles of a parallelogram are in the ratio 2: 3. Find a...

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  7. If each of the two lines is perpendicular to the same line, what ki...

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  8. /1=60^@ and /2=(2/3)^(r d) of a right angle. Prove that l |\| m

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  9. , if l , m , n and /1=60^@, find /2.

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  10. Prove that two lines perpendicular to the same line are parallel to...

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  11. The opposite sides of a quadrilateral are parallel. If one angle of ...

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  12. Two lines A B\ a n d\ C D intersect at Odot If /A O C+/C O B+/B O D=27...

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  13. In Fig., p is a transversal to lines m and n and , /2=120^@ and /5=6...

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  14. In Figure, transversal l intersects two lines m\ a n d\ n , /4=100^0\ ...

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  15. Which pair of lines in Fig. are parallel? Given reasons.

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  16. If l , m,n are three lines such that l |\| m and n|l , prove that n|...

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  17. If Figure, arms BA and BC OF /A B C are respectively parallel to ar...

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  18. In Figure, arms BA and BC of /A B C are respectively parallel to arm...

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  19. Which of the following statements are true (T) and which are false (...

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  20. Fill in the blanks in each of the following to make the statement tr...

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