# Is Angle Chasing Useful?

Geometry Level 4

In triangle $$ABC$$, $$\angle{B} = 70^{\circ}$$ and $$\angle{C} = 50^{\circ}$$. Point $$M$$ is placed on side $$AB$$ such that $$\angle{MCB} = 40^{\circ}$$ and point $$N$$ is placed on side $$AC$$ such that $$\angle{NBC} = 50^{\circ}$$.

Find $$\angle{NMC}$$ (in degrees).

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