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If ray O C stands on line A B such that ...

If ray `O C` stands on line `A B` such that `/_A O C=/_C O B` , then show that `/_A O C=90^0`

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In a triangle A B C ,/_A B C=/_A C B and the bisectors of /_A B C and /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0

In Figure, O is the centre of the circle such that /_A O C\ =130^0,\ then /_A B C= (a) 130^0 (b) 115^0 (c) 65^0 (d) 165^0

In a triangle A B C ,\ /_A B C=\ /_A C B and the bisectors of /_A B C\ a n d\ /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0 .

If A ,\ B ,\ C are three points on a circle with centre O such that /_A O B=90^0 and /_B O C=120^0, then /_A B C= (a) 60^0 (b) 75^0 (c) 90^0 (d) 135^0

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

In Fig.92, A O B is a straight line such that /_A O C=(3x+10)^0,\ /_C O D=50^0 and /_B O D=(x-8)^0dot The value of x is (a) 32 (b) 36 (c) 42 (d) 52

In Figure, O P bisects /_B O C\ a n d\ O Q \ bisects \ /_A O C . Show that /_P O Q=90^0

In Fig. 10.36, A,B and C are three points on a circle with centre O such that \ /_B O C=\ 30^o and \ /_A O B =\ 60^o . If D is a point on the circle other than the arc ABC, find /_A D Cdot

Two straight lines A B\ a n d\ C D intersect one another at the point Odot If /_A O C+/_C O B+/_B O D=274^0, then /_A O D=

In a triangle A B C , N is a point on A C such that B N_|_A C . If B N^2=A N N C , prove that /_B=90o .

RD SHARMA ENGLISH-LINES AND ANGLES -All Questions
  1. In Figure, lines X Y\ a n d\ M N intersect at O. If /P O Y=90^0a n d\ ...

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  2. In Figure, /P Q R=\ /P R Q , then prove that /P Q S=\ /P R Tdot

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  3. If ray O C stands on line A B such that /A O C=/C O B , then show that...

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  4. In Figure, if x+y=w+z, then prove that A O B is a line.

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  5. It is given that /X Y Z=64o and XY is produced to point P. Draw a f...

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  6. In figure, O A\ a n d\ O B are opposite rays: (i) If x=25^0, what is...

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  7. In Figure, write all pairs of adjacent angles and all the linear pa...

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  8. In Figure, find x. Further find /B O C ,\ /C O D\ a n d\ /A O D.

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  9. In Figure, rays O A ,\ O B ,\ O C ,\ O D\ a n d\ O E have the common e...

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  10. In Figure, /A O C\ a n d\ /B O C form a linear pair. If a-2b=30^0, fin...

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  11. How many pairs of adjacent angles are formed when two lines intersec...

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  12. How many pairs of adjacent angles, in all, can you name in Figure.

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  13. In Figure, determine the value of x

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  14. In Figure, A O C is a line, find x

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  15. In Figure, P O S is a line, find x

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  16. In Figure, A C B is a line such that /D C A=5x\ a n d\ /D C B=4xdot Fi...

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  17. Given /P O R=3x\ a n d\ /Q O R=2x+10 , find the value of x for which P...

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  18. In Figure, a is a greater than b by one third of a right-angle. Find...

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  19. What value of y would make A O B a line in Figure, if /A O C=4y\ a n d...

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  20. In Figure, O P ,\ O Q ,\ O R\ a n d\ O S are four rays. Prove that ...

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