Apply tangent law on scalene triangle

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In a triangle,ABC, what is the measure of angle A if the side opposite of angle A is 3 and the adjacent side to angle A is 4? VarsityTutor solved it with tangent formula (opposite/adjacent). But I think it's unsolvable because the triangle is not right or another adjacent side isn't given. What is your opinion about it?

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Infinite such triangles are possible .One can not determine angle A . For a unique triangle given data is insufficient

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