Home
Class 9
MATHS
In Figure, bisectors of /B and /D of qua...

In Figure, bisectors of `/_B` and `/_D` of quadrilateral `A B C D` meet `C D` and `A B` produced at `Pa n d` Q respectively. Prove that : ` /_ P + /_Q= 1/2( /_ ABC + /_ ADC)`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|67 Videos

  • RATIONALISATION

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

In Figure, bisectors of /_B\ a n d\ /_D of quadrilateral A B C D meet C D\ a n d\ A B produced at P\ a n d\ Q respectively. Prove that /_P+/_Q=1/2(/_A B C+/_A D C)dot

In a quadrilateral A B C D ,C O and D O are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /_C\ a n d\ /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /_C\ a n d\ /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In quadrilateral A B C D ,\ A O\ a n d\ B O are the bisectors of /_A\ a n d\ /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a quadrilateral ABCD , CO and DO are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E BC ~EDAdot

The sides B A and D C of a quadrilateral A B C D are produced as shown in Figure. Prove that a+b=x+ydot Figure

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. The sides B A and D C of a quadrilateral A B C D are produced as shown...

    Text Solution

    |

  2. In a quadrilateral A B C D ,A O andB O are the bisectors of A/ and /B ...

    Text Solution

    |

  3. In Figure, bisectors of /B and /D of quadrilateral A B C D meet C D an...

    Text Solution

    |

  4. The angle of a quadrilateral are respectively 100^0,\ 98^0,\ 92^0dot F...

    Text Solution

    |

  5. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

    Text Solution

    |

  6. In a quadrilateral A B C D ,C O and D O are the bisectors of /C and /D...

    Text Solution

    |

  7. The angles of a quadrilateral are in the ratio 3:5:9: 13. Find all t...

    Text Solution

    |

  8. In a parallelogram A B C D , prove that sum of any two consecutive ang...

    Text Solution

    |

  9. In a parallelogram A B C D ,/D=115^0, determine the measure of /A and ...

    Text Solution

    |

  10. In Figure, A B C D is a parallelogram. Compute the values of x\ a n...

    Text Solution

    |

  11. In Figure, find the four angles A ,\ B ,\ C\ a n d\ D in the parall...

    Text Solution

    |

  12. In a parallelogram A B C D diagonals A C\ a n d\ B D intersect at O\ a...

    Text Solution

    |

  13. A B C D is a parallelogram and line segments A X ,\ C Y bisect the ...

    Text Solution

    |

  14. Given /\A B C , lines are drawn through A ,\ B\ a n d\ C parallel r...

    Text Solution

    |

  15. In Figure, A N and C P are perpendicular to the diagonal B D of a para...

    Text Solution

    |

  16. In Figure, P Q R S is a parallelogram, P O\ a n d\ Q O are, respective...

    Text Solution

    |

  17. The diagonals of a parallelogram A B C D intersect at O. A line thro...

    Text Solution

    |

  18. In Figure, A B C D is a parallelogram and /D A B=60^@. If the bisector...

    Text Solution

    |

  19. In a parallelogram A B C D , the bisector of /A also bisects B C at X....

    Text Solution

    |

  20. A B C D is a parallelogram. L\ a n d\ M are points on A B\ a n d\ D C ...

    Text Solution

    |