Answer:
x = 3
Step-by-step explanation:
For this problem, it's important to understand what an angle bisector is. An angle bisector is simply a line that splits an angle into two equal portions. In this problem, <ATS is bisected by TR which gives us <ATR = <RTS = 1/2 <ATS.
Let's use this information to solve our equation to find x.
m<RTS = 1/2 m<ATS
17x - 5 = (1/2) (28x + 8)
17x - 5 = (1/2)(28x) + (1/2)(8)
17x - 5 = 14x + 4
17x - 14x - 5 = 14x - 14x + 4
3x - 5 = 4
3x - 5 + 5 = 4 + 5
3x = 9
3x * 1/3 = 9 * 1/3
x = 3
Hence, we have found the value of x to be 3.
Cheers.
