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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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Let the two lines 'm' and 'n' each be perpendicular to the same line 'I'.Then,
`'/_1=90^@'
/_2=90^@'`
∴` '/_1=/_2'`
But these angles form a pair of equal corresponding angles.
∴'`m || n`'
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RD SHARMA-LINES AND ANGLES -All Questions
  1. /1=60^@ and /2=(2/3)^(r d) of a right angle. Prove that l |\| m

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

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

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

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

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

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

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

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

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

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

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

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  14. Define complementary angles.

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  15. Define supplementary angles.

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  16. Define Adjacent angles

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  17. The complement of an acute angle is ..............

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  18. The supplement of an acute angle is .............

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  19. The supplement of a right angle is ..............

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  20. Write the complement of an angle of measure x^@.

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