Which pair of equations is correct?

x = 50 and y = 80

x = 2 and y = 30

x = 20 and y = 20

x = 1 and y = 60

Question

Which pair of equations is correct? 

 x = 50 and y = 80  

 x = 2 and y = 30 

 x = 20 and y = 20 

 x = 1 and y = 60

anonymous · Answer

attachment

ash2326 · Answer

@Kaitlyn_The_Math_wiz is there any relation between the two triangles?

anonymous · Answer

they look almost similar or congruent i think

ash2326 · Answer

Yes they are congruent

ash2326 · Answer

so could you find any relation to find x and y?

anonymous · Answer

oh its x=1 and y=60 right if the two triangles are congruent?!

ash2326 · Answer

yeah, you're correct :)
hod did you solve?

anonymous · Answer

do what?

radar · Answer

y+20 = 80
y = 80 - 20 = 60     I bet that is the way it was solved.

ash2326 · Answer

sorry * how

radar · Answer

Being it has been decided the two triangles are congruent.  (side, opposite angle)

radar · Answer

30x + 20 = 50
30x =50 -20 =30
x = 1