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If I is the incentre of triangle ABC and AI when produced meets the circumcircle of triangle ABC in point D. If ` angle BAC = 66^(@) and angle ABC = 80 ^(@) ` Calculate :
(i) ` angle DBC `
(ii) ` angle IBC `
(iii) ` angle BIC `

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The correct Answer is:
` 33 ^(@) (ii) 40^(@) (iii) 123^(@) `
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ICSE-CIRCLES-EXERCISE 17( C )
  1. D and E are points on equal sides A B and A C of an isosceles triangle...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. In the given figure , angle ACE = 43^(@) and angle CAF = 62^(@) , fi...

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  17. In the given figure,AB is parallel to DC. angle BCE = 80 ^(@) and an...

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  18. ABCD is a cyclic quadrilateral of a circle with centre O such that AB ...

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  19. In the figure , given below , CP bisects angle ACB. Show that DP bi...

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

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