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Two lines are respectively perpendicular to two parallel llines. Show that they are parallel to each other.

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Let `l||m` and let `p bot l` and `q bot m`. Then, `angle1=90^(@)` and `angle3=90^(@)`.
Now, `l||m` and p is a trabsversal.
`:. angle2=angle1=90^(@)`
Also, `angle3=90^(@)` (given)
`:. angle3=angle2` (each `=90^(@)`)
But these are corresponding angles.
`:. p||q`.
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RS AGGARWAL-LINES AND ANGLES-Exercise 7C
  1. For what value of x will the lines l and m be parallel to each other ?

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  2. In the given figure, AB||CD and BC||ED. Find the value of x.

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  3. In the given figure, AB||CD||EF. Find the value of x.

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  4. In the given figure, AB||CD. Find the values of x, y and z.

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  5. In each of the figures given below, AB||CD. Find the value of x in eac...

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  6. In the given figure, AB||CD. Find the value of x.

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  7. In the given figure, AB||PQ. Find the values of x and y.

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  8. In the given figure, AB||CD. Find the value of x.

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  9. In the given figure, AB||CD. Find the value of x.

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  10. In the given figure, AB||CD. Find th value of x,y and z.

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  11. In the given figure, AB||CD. Prove that angleBAE-angleECD=angleAEC

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  12. In the given figure, AB||CD. Prove that p+q-r=180.

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  13. In the given figure, AB||CD and EF||GH. Find the values of x, y, z and...

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  14. In the given figure, AB||CD and a transversal t cuts them at E and F r...

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  15. In the given figure, AB||CD and a transversal t cuts them at E and F r...

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  16. In the given figure, BA||ED and BC||EF. Show that angleABC=angleDEF.

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  17. In the given figure, BA||ED and BC||EF. Show that angleABC+angleDEF=18...

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  18. In Figure, m\ a n d\ n are two plane mirrors perpendicular to each o...

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  19. In the figure given below, state which lines are parallel and why ?

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  20. Two lines are respectively perpendicular to two parallel llines. Show...

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