Home
Class 9
MATHS
If bisectors of angleA and angleB of a q...

If bisectors of `angleA` and `angleB` of a quadrilateral ABCD meet at O, then `angleAOB` is

A

`angleC+angleD`

B

`1/2angleC+1/3angleD`

C

`1/2angleC+1/3angleD`

D

`1/3angleC+1/2angleD`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    FULL MARKS|Exercise Prograss check (Answer the following question|7 Videos

  • GEOMETRY

    FULL MARKS|Exercise Prograss check|13 Videos

  • GEOMETRY

    FULL MARKS|Exercise Exercise 4.6|7 Videos

  • COORDINATE GEOMETRY

    FULL MARKS|Exercise TEXTBOOK ACTIVITY|2 Videos

  • MENSURATION

    FULL MARKS|Exercise Assignment (II. Answer the following questions)|8 Videos

Similar Questions

Explore conceptually related problems

Bisector of angleB" and "angle C " in "DeltaABC meet each other at P. Line Ap cuts the side BC at Q. Then prove that : (AP)/(PQ)=(AB+BC)/(BC)

The internal bisector of angle A of Delta ABC meets BC at D and the external bisector of angle A meets BC produced at E. Prove that (BD)/(BE) = (CD)/(CE) .

In a parallelogram ABCD, the bisectors of the consecutive angles angleA and angleB intersect at P. Show that angleAPB=90^(@) .

In a quadrilateral ABCD, vecAB+vecBC+ vecCD is:

ABCD is a quadrilateral in which AB= AD, the bisector of angle BAC and angle CAD intersect the sides BC and CD at the points E and F respectively. Prove that EF || BD.

In a cyclic quadrilateral ABCD /_A=4x, /_C=2x the value of x is

In the figure angleA = 64^(@), angleABC = 58^(@) . If BO and CO are the bisectors of angleABC and angleACB respectively of triangleABC , find x^(@) and y^(@) .

FULL MARKS-GEOMETRY-Exercise 4.7 (I. Multiple Choice Questions)
  1. The exterior angle of a triangle is equal to the sum of two

    Text Solution

    |

  2. In the quadrilateral ABCD, AB=BC and AD=DC Measure of angleBCD is . . ...

    Text Solution

    |

  3. ABCD is a square, diagonals AC and BD meet at O. The number of pairs o...

    Text Solution

    |

  4. In the given figure CE || DB then value of x^(@) is . . . . . . . . .

    Text Solution

    |

  5. The correct statement out of the following is . . . . . . . . .

    Text Solution

    |

  6. If the diagonal of a rhombus are equal, then the rhombus is a

    Text Solution

    |

  7. If bisectors of angleA and angleB of a quadrilateral ABCD meet at O, t...

    Text Solution

    |

  8. The interior angle made by the side in a parallelogram is 90^(@) then ...

    Text Solution

    |

  9. Which of the following statement is correct?

    Text Solution

    |

  10. The angles of the triangles are 3x-40, x+20 and 2x-10 then the value o...

    Text Solution

    |

  11. PQ and RS are two equal chords of a circle with centre O such that ang...

    Text Solution

    |

  12. A chord is at distance of 15 cm from the centre of the circle of radiu...

    Text Solution

    |

  13. In the figure, O is the centre of the circle and angleACB=40^(@) then ...

    Text Solution

    |

  14. In a cyclic quadrilaterals ABCD, angleA=4x,angleC=2x the value of x is...

    Text Solution

    |

  15. In the figure, O is the centre of a circle and diameter AB bisects the...

    Text Solution

    |

  16. In the figure, PQRS and PTVS are two cyclic quadrilaterals, If angleQR...

    Text Solution

    |

  17. If one angle of a cyclic quadrilateral is 75^(@), then the opposite an...

    Text Solution

    |

  18. In the figure, ABCD is a cyclic quadrilateral in which DC produced to ...

    Text Solution

    |

  19. AD is a diameter of a circle and AB is a chord. If AD= 30 cm and AB = ...

    Text Solution

    |

  20. In the given figure, If OP= 17 cm PQ= 30 cm and OS is perpendicular to...

    Text Solution

    |