Finding sides of a quadrilateral given all angles and one side

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Please help me in finding side of a quadrilateral if one side and all angles are given.

I tried to derive a general formula in terms of the given quantities using the sine and cosine rules, but it turned out that I need at least one more side.

If wanted, I will post my work, but I don't think it's worth it.

I am a high schooler so I have only a basic understanding of vectors and trigonometry.

Please leave a hint on how to proceed.

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You have to give 5 dimensions

4 sides, 1 diagonal

or

3 sides, 2 angles

or

2 sides, 3 angles.

One side , 4 angles given.. for such a case a construction gives a side with one parallel displacement degree of freedom.