Home
Class 14
MATHS
If an exterior angle of a cyclic quadril...

If an exterior angle of a cyclic quadrilateral be `50^(@)`, then the opposite interior angle is :

A

`130^@`

B

`40^@`

C

`50^@`

D

`90^@`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE- XI)|22 Videos
  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE- XII)|90 Videos
  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE-IX)|5 Videos
  • DISCOUNT

    KIRAN PUBLICATION|Exercise Test Yourself |10 Videos
  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

Similar Questions

Explore conceptually related problems

Interior and exterior of a quadrilateral

The sum of either pair of opposite angles of a cyclic quadrilateral is 180^(@) OR The opposite angles of a cyclic quadrilateral are supplementary.

Assertion (A) : If in a cyclic quadrilateral ,one angle is 40^(@) ,then the opposite angle is 140^(@) . Reason (R ) : Sum of opposite angle in a cyclic quadrilateral is equal to 360^(@) .

Which of the following statements are true (T) and which are false (F): Sum of the three angles of a triangle is 180^0 A triangle can have two right angles. All the angles of a triangle can be less than 60^0 All the angles of a triangle can be greater than 60^0 All the angles of a triangle can be equal to 60^0 A triangle can have two obtuse angles. A triangle can have at most one obtuse angles. In one angle of a triangle is obtuse, then it cannot be a right angled triangle. An exterior angle of a triangle is less than either of its interior opposite angles. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. An exterior angle of a triangle is greater than the opposite interior angles

If one side of a cyclic quadrilateral is produced,then the exterior angle is equal to the interior opposite angle.

If one side of a cyclic quadrilateral is produced; then the exterior angle is equal to the interior opposite angle.

The opposite angles of a cyclic quadrilaterals are supplimentary

If an exterior angle of a triangle is 115^(@ and interior opposite angles are in the ratio 2:3 find the angles of the triangle.

An exterior angle of a triangle is 110^(@), and one of the interior opposite angles is 30^(@). Find the other two angles of the triangle.

An exterior angle of a triangle is 11.0^(@), and one of the interior opposite angles is 30^(@). Find the other two angles of the triangle.

KIRAN PUBLICATION-GEOMETRY-QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE- X)
  1. If ABCD is a cyclic quadrilateral with /A = 50^@, /B=80^@, then C and ...

    Text Solution

    |

  2. ABCD is a cyclic trapezium whose sides AD and BC are parallel to each ...

    Text Solution

    |

  3. If an exterior angle of a cyclic quadrilateral be 50^(@), then the opp...

    Text Solution

    |

  4. ABCD is a cyclic quadrilateral and O is the centre of the circle. If /...

    Text Solution

    |

  5. The measures of three angles of a quadrilateral are in the ratio 1: 2:...

    Text Solution

    |

  6. ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. I...

    Text Solution

    |

  7. In a cyclic quadrilateral ABCD, AB = BC, AD = DC, AC|BD, angleCAD=thet...

    Text Solution

    |

  8. The diagonals AC and BD of a cyclic quadrilateral ABCD inter sect each...

    Text Solution

    |

  9. If the sides of a quadrilateral ABCD touch a circle and AB = 6 cm, CD ...

    Text Solution

    |

  10. In a cyclic quadrilateral ABCD /A + /B + /C + /D = ?

    Text Solution

    |

  11. ABCD is a cyclic quadrilateral. The side AB is extended to E in such a...

    Text Solution

    |

  12. ABCD is a cyclic quadrilateral and AD is a diameter. If /DAC = 55^@ th...

    Text Solution

    |

  13. The point of intersection for the diagonals AC and BD of the cyclic qu...

    Text Solution

    |

  14. ABCD is a quadrlateral in which BD and AC are diagonals then

    Text Solution

    |

  15. Three consecutive angles of a cyclic quadrilateral are in the ratio of...

    Text Solution

    |

  16. In which of the following quadrilaterals opposite sides are not parall...

    Text Solution

    |

  17. In the given figure, O is the center of the circle. /DAB = 110^@ and /...

    Text Solution

    |

  18. In the given figure, O is the centre of the circle, /PQR = 100^@ and /...

    Text Solution

    |

  19. In the given figure. QRTS is a cyclic quadrilateral. If PT = 5 cm, SQ ...

    Text Solution

    |

  20. PQRS is a cyclic quadrilateral. PR and QS intersect at T. If angleSPR=...

    Text Solution

    |