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In the figure, find the value of x for w...

In the figure, find the value of x for which the lines l and m are parallel.

A

`120^(@)`

B

`126^(@)`

C

`136^(@)`

D

`140^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
In the given figure,l`|"|` m and we know that, it a transveral intersects two parallel lines, then sum of interior angles on the same side of a transversal is supplementary .
`:. " " x + 44^(@) = 180^(@)`
`rArr " " x = 180^(@)- 44^(@)`
`rArr " " x = 136^(@)`
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NCERT EXEMPLAR-LINES AND ANGLES -Lines And Angles
  1. How many triangles can be drawn having its angles as 45^(@), 64^(@) an...

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  2. How many triangles can be drawn having its angles as 53^(@), 64^(@) an...

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  3. In the figure, find the value of x for which the lines l and m are par...

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  4. Two adjacent angles are equal. Is it necessary that each of these angl...

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  5. If one of the angles by two intersecting lines is a right angles, what...

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  6. In the figure, which of the two lines are parallel and why ?

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  7. Two lines l and m , are perpendicular to the same line n. Are l and m...

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  8. In the figure, OD is the bisector of /AOC, OE is the bisector of /BOC ...

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  9. In the figure, /1 =60^(@) and /6 =120^(@) Show that the lines m and n ...

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  10. AP and BQ are the bisectors of the two alternate interior angles forme...

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  11. In the given figure, bisectors AP and BQ of the alternate interior ang...

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  12. In the figure, BA|""| ED and BC|""| EF. Show that /ABC = /DEF.

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  13. In the figure, BA || ED and BC || EF. Show /ABC + /DEF = 180^(@).

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  14. In the figure, DE|""| QR and BP are bisectors of /EAB and /RBA, respec...

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  15. A Delta ABC is right angled at A. L is a point on BC such that ALbot B...

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  16. Two lines are respectively perpendicular to two parallel lines. Show ...

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  17. If two lines intersect prove that the vertically opposite angles are ...

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  18. Bisectors of interior /B and exterior /ACD of a DeltaABC intersect at ...

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  19. A transversal intersects two parallel lines. Prove that the bisectors ...

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  20. Prove that through a given point, we can draw only one perpendicular ...

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