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Angle NCB in a triangle

High school · ●●●○○ 50 pts

In △ABC\triangle ABC, ∠ABC=50∘\angle ABC=50^{\circ} and ∠ACB=20∘\angle ACB=20^{\circ}. Point NN is inside △ABC\triangle ABC with ∠NAB=40∘\angle NAB=40^{\circ} and ∠NBC=30∘\angle NBC=30^{\circ}. Find the measure of ∠NCB\angle NCB in degrees.

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triangle angle sumreflection symmetrycongruent triangles