The Equilateral Triangle Wizardry Part-2

Geometry Level 5

In an equilateral\color{#E81990}{equilateral} triangle ΔABC\color{#69047E}{\Delta ABC}, there is a point M\color{#EC7300}{M} inside the triangle, such that MA:MB:MC=3:4:5\overline{MA}:\overline{MB}:\overline{MC}=\sqrt{3}:\sqrt{4}:\sqrt{5}.

Find AMB\angle AMB in degrees.

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

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