Respuesta :

Answer:

124

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180:

m<R + m<S + m<T = 180

11x + 3 + x + 15 + 2x + 8 = 180 add like terms

14x + 26 = 180 subtract 26 from both sides

14x = 154 divide both sides by 14

x = 11 to find m<R replace x with 11

11*11 + 3 = 124

Apply angle sum property

[tex]\\ \rm\rightarrowtail 11x+3+x+15+2x+8=180[/tex]

[tex]\\ \rm\rightarrowtail 14x+26=180[/tex]

[tex]\\ \rm\rightarrowtail 14x=154[/tex]

[tex]\\ \rm\rightarrowtail x=11[/tex]

  • m<R=11(11)+3=124