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A triangle ABC is inscribed in a circle with centre O. AO is produced to meet the circle at K and AD ⊥ BC. If ∠B = 80° and ∠C = 64°, then the measure of ∠DAK is:
Answer & Solution
Correct Answer:
Option
B
∠ACK = 90° (In semicircle)
∠B = ∠K = 80°
In ΔAKC, ∠A + ∠K + ∠C = 180°
∠A + 80° + 90° = 180°
∠A = 10°
In ΔABD, ∠A = 90° - 80° = 10°
∠CAD = 90° - 64° = 26°
∠DAK = 26° - 10° = 16°
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