G.1.21.3 Triangle Angle Sum Another Way

Triangle [i]ABC[/i] has been translated along the directed line segment from [i]B[/i] to [i]C[/i] to make triangle [i]A'B'C'[/i] and triangle [i]ABC [/i]was also translated along the directed line segment from [i]A[/i] to [i]C[/i] to make triangle [i]A''B''C''[/i]. [br][br]Use what you know about vertical angles to prove the Triangle Angle Sum Theorem.
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Information: G.1.21.3 Triangle Angle Sum Another Way