Question

In ΔRST, \text{m}\angle R = (5x-11)^{\circ}m∠R=(5x−11)
∘
, \text{m}\angle S = (3x-3)^{\circ}m∠S=(3x−3)
∘
, and \text{m}\angle T = (3x+18)^{\circ}m∠T=(3x+18)
∘
. Find \text{m}\angle R.m∠R.

Answer 1

∘(5x−11)+(3x−3)+(3x+18)=180

(5x+3x+3x)+(−11−3+18)=180    Group like terms

11x+4= 180   combine like terms

     -4   -4

  11x=176

11x=176    divide both sides by 11

11      11

x=16       found x

m∠R=5x−11=5(16)−11=69    Final answer

​ Step-by-step explanation: