In the following figure, MN is a tangent to a circle with centre O at point A. If BC is a diameter and ∠ABC = 42°, then find the measure of ∠ MAB.
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 48°
BC is a diameter.
∠ABC = 420
In the alternate segment theorem, the angle between a tangent and a chord is equal to the angle in the alternate segment.
The diameter makes 900 on the circumference.
According to the concept -
∠BAC = 900
∠BCA = 1800 - 420 - 900 = 480
∠MAB = ∠BCA
∠MAB = 480