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If the bisectors of a pair of alternat...

If the bisectors of a pair of alternate angles formed by a transversal with two given lines are parallel, prove that the given lines are parallel.

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To prove that if the bisectors of a pair of alternate angles formed by a transversal with two given lines are parallel, then the given lines are parallel, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Figure**: - Let lines AB and CD be two given lines. - Let a transversal GH intersect these lines at points A and D, forming alternate angles ∠AGH and ∠GHD. ...
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RD SHARMA-LINES AND ANGLES -All Questions
  1. In Figure, lines A B\ a n d\ C D are parallel and P is any point betwe...

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

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  3. If the bisectors of a pair of alternate angles formed by a transvers...

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  4. In Figure, A B C D\ &\ C D E F . Also, E A\ |A Bdot If /B E F=55^0, ...

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  5. In Figure, if P Q||R S ,\ /M X Q=135^0a n d\ /M Y R=40^0,\ fin d\ /X M...

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  6. In Figure, P Q\ a n d\ R S are two mirrors placed parallel to each o...

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  7. In the figure p||q and r is a transversal if /1 and /2 are in the rati...

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  8. In Fig. l ,\ m\ a n d\ n are parallel lines intersected by transvers...

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  9. In Fig. A B C D E F\ a n d\ G H K Ldot Find /H K L

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  10. In Fig, Show that A B E Fdot

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  11. In Fig. If A B C D\ a n d\ C D\ E F , Find /A C E

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  12. In Figure, P Q || A B\ a n d\ P R\ || B C . If /Q P R=102^0 , determin...

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  13. In Figure , State which lines are parallel and why.

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

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

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

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

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

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

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  20. /1=60^@ and /2=(2/3)^(r d) of a right angle. Prove that l |\| m

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