Answer:
3rd option) 48°
Step-by-step explanation:
Finding x:
[Equation] 115 = (53 - 2x) + (27 - 3x)
[Distribute] 115 = 53 - 2x + 27 - 3x
[Combine like terms] 115 = 80 - 5x
[Subtract 80 from both sides] 35 = -5x
[Divide both sides by -5] x = -7
Finding ∠TRS:
[Equation] 27 - 3x = ∠TRS
[Plug-in x] 27 - 3(-7) = ∠TRS
[Multiply] 27 + 21 = ∠TRS
[Add] 48° = ∠TRS
[] See attached for an explanation of why I set up the equation the way I did
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
