Respuesta :

<t =33 since triangle  RUT is isosceles  (RU = TU)

<r + <u + <t = 180  triangle = 180

33 + <u + 33 = 180

66 + <u = 180

< u =114

<rus = < sut  from the diagram

<rus + <sut = <u

x + x = 114

2x = 114

divide by 2

x = 57

on point S label each side of the perpendicular line 90°

Triangle RSU will always add up to 180°   so    33+90= 123     180-123= 57

57 time 2 since its split into two   114° = u

 

114+33= 147     180 - 147=33



U=114 is your answer