Answer:
∠FGH~∠FSR
Step-by-step explanation:
To prove triangle similarity, use SAS similarity, which means there must be 2 proportional sides, and a congruent angle that exists between the two sides.
∠SFR and∠GFH are congruent because of the vertical angles theorem, which says that when two lines intersect, two pairs of congruent angles are created.
To prove that the given sides are proportional, we'll find the ratio between one pair of sides, and see if the other pair fits into the same ratio.
20 * 1.25 = 25, and 16 * 1.25 = 20.
Since both sides of one triangle can be multiplied by the same number to get the corresponding sides of the other triangle, we know that they are proportional.
We have now proven they two sides are similar, as well as the angles between the two sides are congruent, so we can now say that
∠FGH~∠FSR via SAS similarity
