Home
Class 10
MATHS
In the figure, quadrilateral ABCD is cyc...

In the figure, quadrilateral ABCD is cyclic.
'/_ GBC=80^circ'
'/_ A=50^circ'
'(##VPU_TTT_MAT_X_P01_C02_E09_005_Q01##)'
i) Compute the other. angles of the quadrilateral. Find also '/_ A D L'.
ii) Prove that the sum of the exterior angles at opposite vertices of a cyclic quädrilateral is '180^circ .'

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC SEQUENCES

    V PUBLICATION|Exercise Question Bank|124 Videos

  • COORDINATES

    V PUBLICATION|Exercise QUESTION BANK|56 Videos
V PUBLICATION-CIRCLES-QUESTION BANK
  1. In the figure, 'P, Q, R' and 'S' are points on the circle with centre ...

    Text Solution

    |

  2. In the figure, 'C' is the centre of the circle and 'AB', its diameter....

    Text Solution

    |

  3. In the figure, quadrilateral ABCD is cyclic. '/ GBC=80^circ' '/ A=50...

    Text Solution

    |

  4. Two circles are intersecting at 'Q' and 'C' as shown in the figure. 'R...

    Text Solution

    |

  5. Prove that the quadrilateral obtained by joining any two alternate ver...

    Text Solution

    |

  6. Construct a square of area 12 square centimetres. '(##VPUTTTMATXP01C02...

    Text Solution

    |

  7. In the figure 'A B=A D' '/ A=60^circ' '/ C=150^circ' Show that the cir...

    Text Solution

    |

  8. Draw an equilateral triangle of sides 6 centimetres. Draw a square of ...

    Text Solution

    |

  9. In triangle ABC, / A=30^circ, / B=60^circ . If we draw a circle with A...

    Text Solution

    |

  10. In the figure, 'A B' is a diameter. 'P C' is perpendicular to 'A B . P...

    Text Solution

    |

  11. In the figure, '/ ADC=/ BCD' Prove that '/ A B C=/ B C E .' '(##VPUTT...

    Text Solution

    |

  12. In the figure, 'O' is the centre of the circle. Central / of arc AXB i...

    Text Solution

    |

  13. In the figure, 'O' is the centre of the circle. If '/ D=80^circ', find...

    Text Solution

    |

  14. In the figure, 'O' is the centre. 'P Q' and 'RS',are perpendicular dia...

    Text Solution

    |

  15. In the circle shown, the chords 'A Q' and BP passes through C. a) Th...

    Text Solution

    |

  16. Draw a circle with radius 4 centimetres. Draw a triangle with two of i...

    Text Solution

    |

  17. In the figure, 'O' is the centre of the circle. and 'A, B, C, D' are p...

    Text Solution

    |

  18. Draw a rectangle of length 4 centimetres, breadth 3 centimetres and sq...

    Text Solution

    |

  19. In the figure, the chord 'B D' is perpendicular to the diameter 'A C'....

    Text Solution

    |

  20. In the figure, 'O' is the centre of the circle. '/ A=60^circ' '(##VPUT...

    Text Solution

    |