Answer:
24 =m
Step-by-step explanation:
We can use the angle bisector theorem
AB AC
--------- = ----------
BD DC
Substituting in known values
42 35
------ = -----------
m n
BC = 44 We know that 44 = m+n. Solving for n n = 44-m
42 35
------ = -----------
m 44-m
Using cross products
42(44-m) = 35m
Distribute
1848 -42m = 35m
Add 42m to each side
1848 -42m+42m = 35m+42m
1848 = 77m
Divide each side by 77
1848/77 = 77m/77
24 =m
