Question

Can someone help me with this math problem?

Answer 1

`x=7,\\m\angle LKN = 84^(\circ)`

Explanation:

1. For KM to be the angle bisector of angle LKN, it must be bisect LKN into two equal angles. Therefore, we have the following equation:

`9x-21=6x,\\-21=-3x,\\x=\boxed{7}`

2. Substituting
`x=7`:

`\angle LKN=9x-21+6x=9(7)-21+6(7)=63-21+42=\boxed{84^(\circ)}`