Calculate:

(i) ∠CDB,

(ii) ∠ABC,

(iii) ∠ACB.

(i) We know that,

Angles subtended by the same chord on the circle are equal.

∴ ∠CDB = ∠BAC = 49°.

Hence, ∠CDB = 49°.

(ii) We know that,

Angles subtended by the same chord on the circle are equal.

∠ABC = ∠ADC = 43°.

Hence, ∠ABC = 43°.

(iii) In △ABC,

⇒ ∠ABC + ∠ACB + ∠BAC = 180°

⇒ 43° + ∠ACB + 49° = 180°

⇒ ∠ACB + 92° = 180°

⇒ ∠ACB = 180° - 92° = 88°.

Hence, ∠ACB = 88°.