Question

What is the value of x? Enter your answer in the box.

Answer 1

Answer:

x = 47

Step-by-step explanation:

KY + YV = KV

KY + 22 = x

KY = x - 22

By angle bisector property:

$\frac{TK}{TV} = \frac{KY}{YV} \\ \\\frac{87.5}{77} = \frac{x - 22}{22} \\ \\ x - 22 = \frac{87.5 \times 22}{77} \\ \\ x - 22 = \frac{1,925}{77} \\ \\ x - 22 = 25 \\ \\ x = 25 + 22 \\ \\ x = 47$