Question

MZTRI = 3x - 5, mZIRB = x + 27, and mZTRB = 86. Find the mZTRI.

Answer 1

Answer:

m∠TRI  = 43

Step-by-step explanation:

m∠TRI +  m∠IRB = m∠TRB

3x - 5 + x + 27 = 86

3x + x - 5 + 27 = 86   {Combine like terms}

     4x  + 22    = 86       {Subtract 22 from both sides}

               4x = 86 - 22

                4x = 64           {Divide both sides by 4}

                  x = 64/4

                 x = 16

m∠TRI = 3x - 5

           = 3*16 - 5

          = 48 - 5

          = 43