The relationship between the two triangles can be described as ΔMLN ~ ΔFGH by the third angle theorem, ∠M ≅ ∠F, ∠L ≅ ∠G, and ∠N ≅ ∠H.
Given two triangles.
The triangles are named as LMN and FGH.
Also, two of the angles of each triangle is given.
For triangle LMN,
∠L = 36° and ∠M = 51°
Similarly, for triangle FGH,
∠G = 36° and ∠F = 51°
So, for both triangles,
∠L = 36° = ∠G
∠M = 51° = ∠F
Using the angle sum property of triangles,
∠N = ∠H = 180° -(36° + 51°) = 93°
That is, all three angles of triangle LMN is equal to triangle FGH.
So, by the third angle theorem, ΔMLN is similar to ΔFGH.
Hence, the correct option is A.
Learn more about Similar Triangles here :
#SPJ2
Answer:
Just took the test test it is A 100%
Step-by-step explanation:
entry fee, hotel, food, and lodging, will be a
minimum of $550. Melvin currently has $295
saved. He earns $8.50 per hour at his job
as a technician. How many hours will Melvin
need to work in order to have enough money
to attend the convention?
x 30
(G x 30
CH X S 30
x 30
⬇️