Question

∆RST is congruent to ∆RUT. If angle S is (5x-11) degrees and angle U is (4x+9) degrees, find the value of x. a.89 b.20 c.100 d.15

Answer 1

(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.