Home
Class 10
MATHS
The given figure shows a circle through ...

The given figure shows a circle through the points A,B,C and D . If ` angle BAC = 67^(@) ` , find : ` angle DBC + angle DCB.`

Text Solution

Verified by Experts

The correct Answer is:
` 113 ^(@) `
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    ICSE|Exercise EXERCISE 17(A) |58 Videos
  • CIRCLES

    ICSE|Exercise EXERCISE 17(B) |10 Videos
  • CHAPTERWISE REVISION EXERCISE

    ICSE|Exercise CHAPTERWISE REVISION EXERCISE (PROBABILITY)|16 Videos
  • CONSTRUCTIONS (CIRCLES)

    ICSE|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

In the figure O is the center of a circle, passing through the points A, B, C and D and angle ADC = 12 0^(@) find the value of x

(i) In the adjoining figure, find the value of angle CBE . (ii) In the adjoining figure, two lines PAB and PDC cut a circle at points A,B,C and D. if angle PAD=60^@ ,then find the value of angleBCD .

In the given figure, lengths of arcs APB and BQC are in the ratio 5:3 and angle AOC = 152 ^(@), find angle ACB and angle BAC.

The given figure shows a triangle ABC with angle BAC= 56 ^(@) and angle ABC = 64^(@) , Bisectors of angles A,B and C meet the circumcircle of the Delta ABC at points P,Q and R respectively . Find the measure of angle QPR .

The given figure shows a right triangle right angled at B . If angle BCA = 2 angle BAC, show that AC = 2BC

In the given figure,AB is parallel to DC. angle BCE = 80 ^(@) and angle BAC = 25^(@). Find: (i) angle CAD (ii) angle CBD (iii) angle ADC

In the given figure ,I is the incentre of triangle ABC . AI produced meets the circumcircle of the triangle ABC at point D. if angle BAC = 50^(@) and angle ABC = 70 ^(@) , find : (i) angle BCD (ii) angle ICD (iii) angle BIC (##SEL_RKB_ICSE_MAT_X_C17_E01_015_Q01.png" width="80%">

In the given figure, O is the centre of a circle and angle ADC=130^@ .If angle BAC=x^@ , Find the value of x.

In the given figure BC//DE and O is the centre of the circle . If angle CDE = x^(@) , find in terms of x^(@) the value of angle BAC .

. The given figure shows a rhombus ABCD in which angle BCD=80^(@) . Find angles x and y.

ICSE-CIRCLES-EXERCISE 17( C )
  1. The given figure shows a circle through the points A,B,C and D . If a...

    Text Solution

    |

  2. In the given circle with diameter AB, find the value of x.

    Text Solution

    |

  3. In the given figure , ABC is a triangle in which angle BAC = 30 ^(@) ...

    Text Solution

    |

  4. Prove that the circle drawn on any one of the equal sides of an iso...

    Text Solution

    |

  5. In the given figures, chord ED is parallel to diameter AC of the circl...

    Text Solution

    |

  6. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

    Text Solution

    |

  7. In the figure angle DBC = 58^(@) , BD is a diameter of the circle . ...

    Text Solution

    |

  8. D and E are points on equal sides A B and A C of an isosceles triangle...

    Text Solution

    |

  9. In the given figure ,ABCD is a cyclic quadrilateral .AF is drawn para...

    Text Solution

    |

  10. If I is the incentre of triangle ABC and AI when produced meets the c...

    Text Solution

    |

  11. In the given figure ,AB = AD = DC = PB and angle DBC = x^(@) Determ...

    Text Solution

    |

  12. In the given figure , ABC , AEQ and CEP are straight lines . Show that...

    Text Solution

    |

  13. In the given figure. AB is the diameter of the circle with centre O. ...

    Text Solution

    |

  14. In a cyclic -quadrilateral PQRS angle PQR = 135^(@) , Sides SP and...

    Text Solution

    |

  15. In the following figure , ABCD is a cyclic quadrilateral in which AD i...

    Text Solution

    |

  16. ABCD is a cyclic quadrilateral , Sides AB and DC produced meet at poin...

    Text Solution

    |

  17. The following figure shows a circle with PR as its diameter. If PQ= ...

    Text Solution

    |

  18. In the given figure AB is the diameter of a circle with centre O . If ...

    Text Solution

    |

  19. In cyclic quadrilateral ABCD , AD = BC , angle BAC = 30 ^(@) and angl...

    Text Solution

    |

  20. In cyclic quadrilateral ABCD , AD = BC , angle BAC = 30 ^(@) and angl...

    Text Solution

    |

  21. In cyclic quadrilateral ABCD , AD = BC , angle BAC = 30 ^(@) and an...

    Text Solution

    |