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Angle in a pentagon with interior point

High school · ●●●●○ 100 pts

Let PP be a point inside regular pentagon ABCDEABCDE such that ∠PAB=48∘\angle PAB=48^{\circ} and ∠PDC=42∘\angle PDC=42^{\circ}. Find ∠BPC\angle BPC, in degrees.

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angle chasingregular polygonscongruent trianglesinterior angles