In the given figure, O is the centre of the circle and ∠BDC = 42°. The measure of ∠ACB is

(a) 42°

(b) 48°

(c) 58°

(d) 52°

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Solution

(b) 48°

Construction: Join A and D.

Since AC is the diameter. So ∠ADC will be 90°.

Therefore,

∠ACB = ∠ADB = 48° (Angle in the same segment are equal.)

Hence, the correct answer is option (b).

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