Question

What is the value of x?

Enter your answer in the box.

Answer 1

x = 47

Explanation:

KY + YV = KV

KY + 22 = x

KY = x - 22

By angle bisector property:

`(TK)/(TV) = (KY)/(YV) \\ \\(87.5)/(77) = (x - 22)/(22) \\ \\ x - 22 = (87.5 * 22)/(77) \\ \\ x - 22 = (1,925)/(77) \\ \\ x - 22 = 25 \\ \\ x = 25 + 22 \\ \\ x = 47`