+90 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
A)∠X = 9x/2
B)∠Y = 9x/2
C)∠X = x/2+ 22
D)∠Y = x/2 + 22
+129852 Angles R, S and T sum to 180°
Therefore
2x + 5 + 4x + 10 + 2x - 11 = 180 simplify
8x + 4 = 180 subtract 4 from both sides
8x = 176 divide by 8
x = 22
Angle S = Angle X
4(22) + 10 = 98 = Angle X
But A can't be correct because 9(22) / 2 = 99°
And C can't be correct because (22)/2 + 22 = 33°
And
Angle T = Angle Y
2(22) - 11 = 33°
So
D must be correct because (22)/2 + 22 = 33°
So
Angle T = Angle Y
