Answer:
To prove
∠ABC = ∠PQR
Using euclidean distance, Length of each side can be found as
[tex]AB=\sqrt{65} ,BC=\sqrt{45} ,CA=\sqrt{50} \\PQ=\sqrt{65} ,QR=\sqrt{45} ,RP=\sqrt{50}[/tex]
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.
