Answer:
x=17 is the final answer.
Step-by-step explanation:
Given that m ∠TSR = 84
SQ is angle bisector of ∠TSR
m ∠RSQ = 3x-9
Now using those information, we need to find the value of x.
Since SQ is angle bisector of ∠TSR, then we can write:
∠TSR =2 (∠RSQ)
[tex]84=2(3x-9)[/tex]
[tex]\frac{84}{2}=(3x-9)[/tex]
[tex]42=3x-9[/tex]
[tex]42+9=3x[/tex]
[tex]51=3x[/tex]
[tex]\frac{51}{3}=x[/tex]
[tex]17=x[/tex]
Hence x=17 is the final answer.
