Which additional fact proves that ΔRST and ΔWXY are congruent if ∠R ≅ ∠W and RS ≅ WX. ∠R = 2x + 5 ∠S = 4x + 10 ∠T = 2x - 11

Additional fact proves that ΔRST and ΔWXY are congruent :  D) ∠Y = x / 2 + 22 Further explanation Triangles are said to be congruent if : 1. all three sides equal (SSS ---> side, side, side) 2. two sides and the included angle of 2 triangles, are equal (SAS -> Side, Angle, Side) 3. If the two angles and the included sides of the 2 triangles are equal (ASA -> Angle, Side, Angle) 4. If the two angles and the non-included sides of 2 triangles are equal (AAS -> Angle, Angle, Side) We complete the available answer choices  A) ∠X = 9x / 2   B) ∠Y = 9x / 2   C) ∠X = x / 2 + 22   D) ∠Y = x / 2 + 22  Total of angles in triangle = 180°∠R + ∠S + ∠T = 180 ° (2x + 5) + (4x + 10) + (2x-11) = 180° 8x + 4 = 180 ° 8x = 176 ° x = 22 ° So, ∠R = 2x + 5 = 2.22+ 5 = 49 ° ∠S = 4x + 10= 4.22 + 10 = 98 ° ∠T = 2x - 11 = 2.22 - 11 =33 °If both triangles are congruent then  :∠R≅∠W, or ∠S≅∠X, or ∠T≅∠YLet check the equation from answer option : A) ∠X = 9x / 2  = 9.22 : 2 = 99°, not true   B) ∠Y = 9x / 2  = 9.22 : 2 = 99°, not true   C) ∠X = x / 2 + 22  = 22:2 + 22 = 33°   D) ∠Y = x / 2 + 22  = 22:2 + 22 = 33°Both triangles congruent with AAS theorem, ∠R≅∠W, ∠T≅∠Y and RS ≅ WXLearn moreThe proportion  side of triangle :Keywords : triangle, the AAS Similarity , side, similar,angles,SAS,ASA,AAS,SSS#LearnWithBrainly