Greatest angle chasing ever

Geometry Level 5

If \(\Delta ABC\) is isosceles with \(AB = AC\). Let \(M\) be a point interior of the triangle and \(\angle MBC = { 25 }^{ \circ }\), \(\angle MCB\ = { 30 }^{ \circ }\),\( \angle MBA = { 10 }^{\circ }\),\( \angle MCA = { 5 }^{ \circ }\). Find angle \(\angle AMC\).

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