In the shown figure, BC is a chord and CD is a tangent through the point C. If ∠AOC = 112°, then find ∠ACD.
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 56°.
BC is a chord and CD is a tangent through the point C. If ∠AOC = 112°
The angle at the circumference of the circle = The angle at the center of the circle ÷ 2
The angle at the circumference of the circle ∠ABC = = 56º
From the Alternate segment theorem ∠ABC = ∠ACD = 56º