Question

If tsr = 84 what is the value of x? SQ bisects TSR RSQ= 3x-9

Answer 1

We know that
 ∠ TSR = 84°

if SQ bisects ∠ TSR
then 
∠ RSQ = ∠ TSR/2
so
∠ RSQ = (1/2)*84°----- 42°
∠ RSQ = 3x-9
3x-9=42-------> 3x=42+9------> 3x=51-----> x=51/3-----> x=17°

the answer is
x=17°

Answer 2

we know that

∠ TSR = 84°

if SQ bisects ∠ TSR

then  

∠ RSQ = ∠ TSR/2

so

∠ RSQ = (1/2)*84°----- 42°

∠ RSQ = 3x-9

3x-9=42-------> 3x=42+9------> 3x=51-----> x=51/3-----> x=17°

the answer is

x=17°