Respuesta :

Answer:

  • See below

Step-by-step explanation:

Missing reasons:

  • 1. Given
  • 2. Definition of rectangle
  • 3. Definition of rectangle
  • 4. SAS (side-angle-side) postulate
  • 5. Corresponding parts of congruent triangles are congruent
  • RUTS is a rectangle (Given)
  • RU=ST;UT=RS(Sides of rectangle are equal)
  • <STU and <SRU are right angles(All angles of rectangle is measured 90°)
  • ∆URS[tex]\cong[/tex]∆STU(Side-Angle-Side Congruence)
  • <USR=<SUT(As triangles are same angles remain same