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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

 Mar 20, 2019
 #1
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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

 

 

 

cool cool cool

 Mar 20, 2019

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