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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

Which additional fact proves that ΔRST and ΔWXY are congruent if ∠T ≅ ∠Y and RT ≅ WY-example-1

2 Answers

1 vote

Answer:D

Explanation:

User TimE
by
8.5k points
7 votes

Answer:

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


User Sergio Toledo Piza
by
8.6k points
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