Find the angles of the triangle whose sides are $3 + \sqrt{3},$ $2 \sqrt{3},$ and $\sqrt{6}.$  Enter the angles of the triangle, measured in degrees, separated by commas.
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Find the angles of the triangle whose sides are $3 + \sqrt{3},$ $2 \sqrt{3},$ and $\sqrt{6}.$  Enter the angles of the triangle, measured in degrees, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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105^\circ
Find the angles of the triangle whose sides are $3 + \sqrt{3},$ $2 \sqrt{3},$ and $\sqrt{6}.$  Enter the angles of the triangle, measured in degrees, separated by commas.
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