If I is the incentre of triangle ABC and AI when produced meets the ci

1.	If I is the incentre of triangle ABC and AI when produced meets the circumcircle of triangle ABC in point D. If ∠BAC=66∘ and ∠ABC=80∘. Calculate: (i) ∠DBC (ii) ∠IBC, (iii) ∠BIC.
Answer» If I is the incentre of triangle ABC and AI when produced meets the circumcircle of triangle ABC in point D. If $∠ B A C = 66^{\circ}$ and $∠ A B C = 80^{\circ} .$ Calculate: (i) $∠ D B C$ (ii) $∠ I B C,$ (iii) $∠ B I C .$

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

Answer»

If I is the incentre of triangle ABC and AI when produced meets the circumcircle of triangle ABC in point D.

If $∠ B A C = 66^{\circ}$ and $∠ A B C = 80^{\circ} .$

Calculate:

(i) $∠ D B C$ (ii) $∠ I B C,$ (iii) $∠ B I C .$