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Let A = (0,0), B = (8,1), C = (5,−5), P = (0,3), Q = (7,7),...

Let A = (0,0), B = (8,1), C = (5,−5), P = (0,3), Q = (7,7), and R = (1,10). Prove that angles ABC and PQR have the same size.

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