Home
Class 9
MATHS
In Figure, A B C D is a cyclic quadrilat...

In Figure, `A B C D` is a cyclic quadrilateral. Find the value of `x`

Text Solution

Verified by Experts


We have, `/_CDA =180^0-100^0=100^0`
`/_ABC=180^0-x`
Now,`/_CDA+/_ABC=180^0`
`=>100^0+180^0-x=180^0`
`x=100^0`
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos
  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, if ABCD is a cyclic quadrilateral, find the value of x.

In Figure,PQRS is a cyclic quadrilateral. Find the measure of each of its angles.

In Figure,PQRS is a cyclic quadrilateral. Find the measure of each of its angles.

In the adjoining figure, ABCD is a cyclic quadrilateral and AB is the diameter of the circle. If angleAPC=120^@ , then find the value of angle CAB .

In Figure,ABCD is a cyclic quadrilateral; O is the centre of the circle.If /_BOD=160^(@) , find the measure of /_BPD

If ABC D is a cyclic quadrilateral, then find the value of sinA+sinB-sinC-sinD If A+B+C=(pi)/(2) , then find the value of tanA tanB+tanBtanC+tanC tanA

If ABCD is a cyclic quadrilateral then find the value of sin A+sin B-sin C-sin D

if ABCD is a cyclic quadrilateral, then find the value of cosA cosB - cos C cos D.

If ABCD is a cyclic quadrilateral, then find the value of sinA + sinB -sinC - sinD

In the given figure,ABCD is a cyclic quadrilateral; O is the centre of the circle.If /_BOD=160^(@), then find /_BPD.

RD SHARMA-CIRCLE -All Questions
  1. In Figure, /B A D=78^0,\ /D C F=x^0a n d\ /D E F=y^0dot Find the val...

    Text Solution

    |

  2. In a cyclic quadrilateral A B C D , if /A-\ /C=60^0, prove that th...

    Text Solution

    |

  3. In Figure, A B C D is a cyclic quadrilateral. Find the value of x

    Text Solution

    |

  4. A B C D is a cyclic quadrilateral in which: B C A D ,\ /A D C=110^0...

    Text Solution

    |

  5. Prove that the perpendicular bisectors of the sides of a cyclic quad...

    Text Solution

    |

  6. Prove that the centre of the circle circumscribing the cyclic rectan...

    Text Solution

    |

  7. Prove that the circle drawn with any side of a rhombus as diameter, ...

    Text Solution

    |

  8. If the two sides of a pair of opposite sides of a cyclic quadrilater...

    Text Solution

    |

  9. A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when pr...

    Text Solution

    |

  10. Prove that the angle in a segment greater than a semi-circle is less...

    Text Solution

    |

  11. A B C D is a cyclic trapezium with A D B Cdot If /B=70^0, determine...

    Text Solution

    |

  12. Prove that the line segment joining the mid-point of the hypotenuse ...

    Text Solution

    |

  13. A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its d...

    Text Solution

    |

  14. In Figure, two circles intersect at A\ a n d\ B . The centre of th...

    Text Solution

    |

  15. In Figure, two congruent circles with centers O\ a n d\ O ' intersec...

    Text Solution

    |

  16. A B C D is a cyclic quadrilateral in which /B A D=75^0,\ /A B D=58^0...

    Text Solution

    |

  17. In Figure, if /A O B=80^0a n d\ /A B C=30^0, then find /C A O

    Text Solution

    |

  18. If O is the circumcentre of A B C , then find the value of /O B C...

    Text Solution

    |

  19. If Figure, A O C is a diameter of the circle and are A X B=1/2 arc B...

    Text Solution

    |

  20. In Figure, A is the centre of the circle. A B C D is a parallelogram...

    Text Solution

    |