list the pair of congruent angles and the extended proportion that relations the corresponding sides for the similar polygons KLMNP ~ HGFDC

In Polygons KLMNP and HGFDC,

Angles K, L, M, N and P are corresponding to H, G, F, D and C,

And, Sides KL, LM, MN, NP and PK are corresponding to sides HG, GF, FD, DC and CH

If the two figures are similar then their corresponding sides and angles are congruent.

Therefore, If Polygon KLMNP is similar to HGFDC,

Then, ∠ K ≅ ∠ H, ∠ L ≅ ∠ G, ∠ M ≅ ∠ F, ∠ N ≅ ∠ D, ∠ P ≅ ∠ C

And, KL ≅ HG, LM ≅ GF, MN≅FD, NP≅DC, PK≅CH