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

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.