Question

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 1

Answer:D

Explanation:

Answer 2

The correct answer is answer choice D.

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