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 p qr have the same size.

To prove

∠ABC = ∠PQR

Using euclidean distance, Length of each side can be found as

As can be seen

AB ≅ PQ

BC ≅ QR

CA ≅ RP

As all the sides of ΔABC are equal and congruent to ΔPQR, this Proves that measure of all angles inside both triangles must be equal.

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step-by-step explanation:

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