A Trigonometric Dilemma in a Triangle
Given a triangle ABC with AB = AC, BC = AD and angle (BAC) = 20. Find angle(ADB).
Question & a possible solution is in Images attached.
Other (better solutions) are possible but that’s what I got.

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—————————————>> A more thorough Explanation Firstly, here’s a possible answer…
Question •• 1st rectangle ••• ••• 2nd rectangle •••• •••• •••• 3rd rectangle ••••• ••••• ••••• ••••• 4th…
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This sample question is from a well reputed Local Chinese Math Olympiad contest