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Question
In ΔABC it is given that `(AB)/(AC) = (BD)/(DC)`. If ∠B = 70° and ∠C = 50° then ∠BAD = ?

Options
30°
40°
45°
50°
MCQ
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Solution
30°
Explanation:
∠A = 180° – (70° + 50°) = 60°.
Since `(BD)/(DC) = (AB)/(AC)`, it means AD is the bisector of ∠A.
∴ `∠BAD = (1/2 xx 60^circ) = 30^circ`.
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