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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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RD SHARMA ENGLISH-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 transver...

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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^@a n d\ /M Y R=40^@,\ find /X MY

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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 figure, AB || CD || EF and GH || KL. Find ∠HKL

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  10. In Fig given below, Show that CD || EF

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  11. In Figure, 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 l\ || \m\ ,\ n\ || \p\ a n d\ /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 parallel to the two arms ...

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

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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. In Figure, /1=60^0a n d\ /2=(2/3)^(r d) of a right angle. Prove that...

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