MCQ

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

#### Options

42°

48°

58°

52°

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#### Solution

48°

Construction: Join A and D.

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

Therefore,

`angleADB = 90 - angleBDC`

= 90 - 42

`angle ADB = 48°`

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

Is there an error in this question or solution?

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