Answer:
x=47
Explanation:
We can use the triangle bisector theorem
TK TV
----------- = -----------
YK YV
Substituting what we know
87.5 77
----------- = -----------
x-22 22
Using cross products
87.5 * 22 = 77 *(x-22)
Distribute
1925 =77x - 1694
Add 1694 to each side
1925 + 1694 =77x - 1694+1694
3619 = 77x
Divide by 77
3619/77 = 77x/77
47=x