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2 problems match “triangle angle sum”. Clear

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  1. Angle in two isosceles triangles ●●○○○ 20 ptsTriangles ABCABC and ADCADC are isosceles with AB=BCAB=BC and AD=DCAD=DC. Point DD is inside △ABC\triangle ABC, ∠ABC=40∘\angle ABC = 40^\circ, and ∠ADC=140∘\angle ADC = 140^\circ. Find the measure of ∠BAD\angle BAD in degrees.
  2. Angle NCB in a triangle ●●●○○ 50 ptsIn △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.