In an \(\color{pink}{equilateral}\) triangle \(\color{purple}{\Delta ABC}\), there is a point \(\color{orange}{M}\) inside the triangle, such that \(\overline{MA}:\overline{MB}:\overline{MC}=\sqrt{3}:\sqrt{4}:\sqrt{5}\).

Find \(\angle AMB\) in degrees.

(You may need to use the calculator at the end.)

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