Answer:
x = 47
Step-by-step explanation:
KY + YV = KV
KY + 22 = x
KY = x - 22
By angle bisector property:
[tex] \frac{TK}{TV} = \frac{KY}{YV} \\ \\\frac{87.5}{77} = \frac{x - 22}{22} \\ \\ x - 22 = \frac{87.5 \times 22}{77} \\ \\ x - 22 = \frac{1,925}{77} \\ \\ x - 22 = 25 \\ \\ x = 25 + 22 \\ \\ x = 47[/tex]
