Answer:
(5x-11)°=(4x+9)°
5x-4x=9+11
5x-4x=20
1x=20
1x/1=20/1
x=20
checking
RST. RUT
(5x-11)° =. (4x+9)°
5(20)-11= 4(20)+9
100-11= 80+9
89 =89
therefore they were really congruent to each other cuz RST and RUT were both equal to 89 which we plugged in the value of x to get 89.