Which additional fact proves that ΔRST and ΔWXY are congruent if ∠T ≅ ∠Y and RT ≅ WY? Assume the following: ∠W = x + 5 ∠X = 3x - 9 ∠Y = 2x + 4 A) ∠S = 2x + 20 B) ∠R = 2x + 20 C) ∠S = 2x 2 + 5 D) ∠R = 2x 2 + 5

Answer:
The correct answer is answer choice D.
Step-by-step explanation:
∠R =
2x
2
+ 5
x + 5 + 3x - 9 + 2x + 4 = 180
x = 30
then,
∠W = x + 5 = 30 + 5 = 35
∠R =
2x
2
+ 5 =
2(30)
2
+ 5 =
60
2
+ 5 = 35
thus, ∠W ≅ ∠R
triangles are congruent by ASA