# 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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