Home
Class 9
MATHS
In Figure, ray O S stand on a line P O Q...

In Figure, ray `O S` stand on a line `P O Qdot` Ray `O R` and ray `O T` are angle bisectors of `/_P O S\ a n d\ /_S O Q` respectively. If `/_P O S=x ,` find `/_R O T`

Text Solution

Verified by Experts

`/_POS+/_SOQ=180^0-(1)`
`/_POS and /_SOQ` is linear pair of angles.
`/_POR=/_ROS
/_SOT+/_TOQ=/_SOQ`
`/_SOT=/_TOQ`
`x+/_SOQ=180^0`
`/_SOQ=180^0-x-(2)`
`2/_SOT=180^0-x`
...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|104 Videos
  • MEASURES OF CENTRAL TENDENCY

    RD SHARMA|Exercise All Questions|141 Videos

Similar Questions

Explore conceptually related problems

In Figure, P Q R S is a parallelogram, P O\ a n d\ Q O are, respectively, the angle bisectors of /_P\ a n d\ /_Q . Line L O M is drawn parallel to P Q . Prove that: P L=Q M (ii) L O=O M

The number of S-O-S and O-H links in H_2S_2O_7 molecule are respectively

P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

In Figure, P Q R S is a square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of O T S\ if P Q=8\ c mdot

The number of P-O-P bonds present in P_(4)O_(6) and P_(4)O_(10) are respectively

In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that /_R O S=1/2(/_Q O S-/_P O S)dot

The I.P_(1) 's of N,P,O & S are in the order of

In Fig. 10.37, /_P Q R" "=" "100o , where P, Q and R are points on a circle with centre O. Find /_O P Rdot

RD SHARMA-LINES AND ANGLES -All Questions
  1. In the figure ,find the value of x.

    Text Solution

    |

  2. In figure, O is the centre of the circle angleBCO=30^(@) . Find X an...

    Text Solution

    |

  3. In Figure, ray O S stand on a line P O Qdot Ray O R and ray O T are an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If Figure, /A O F\ a n d\ /F O G form a linear pair. /E O B=\ /F O C=9...

    Text Solution

    |

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

    Text Solution

    |

  10. In Figure, ray O S stand on a line P O Qdot Ray O R and ray O T are an...

    Text Solution

    |

  11. Lines P Q and R S intersect each other at point Odot If /P O R:/R O...

    Text Solution

    |

  12. In Figure, P O Q is a line. Ray O R is perpendicular to lien P QdotO...

    Text Solution

    |

  13. In Figure, A B C D is a rectangle. Find the values of xa n dydot

    Text Solution

    |

  14. In Figure, determine the value of ydot

    Text Solution

    |

  15. In Figure, three coplanar lines intersect in a common point, forming...

    Text Solution

    |

  16. In figure, A B\ a n d\ C D are straight lines and O P\ a n d\ O Q are ...

    Text Solution

    |

  17. In Figure, two straight lines P Q\ a n d\ R S intersect each other a...

    Text Solution

    |

  18. In Figure, lines l1a n d\ L2\ i ntersect \ at \ O, forming angles as ...

    Text Solution

    |

  19. In Figure, three coplanar lines intersect at a point O , forming ang...

    Text Solution

    |

  20. In Figure, find the value of x ,\ y\ a n d\ z

    Text Solution

    |