No, you can't: to do it you need at least one of the side. To demonstrate my assertion think about this: take a triangle and its angles, then scale the triangle by an arbitrary factor, the three angles has not changed.

In brief: by knowing the angles you can identify a family of triangles, but not only one. To do it you need 2 angles and a side.

Note that knowing 2 angles you can simply get the third, as the sum of the three is always 180 degrees.

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