Given isosceles triangle \(ABC\), with \(\angle ABC= \angle ACB=50°\) and \(AB=AC\). \(M\) is a point inside triangle \(ABC\) whether \(\angle MBC=10°\) and \(\angle MCB=20°\). What is the measure of \(\angle AMB\) (in degrees)?

P/s: Try to use pure geometry!

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