Line MP bisects <LMN, m<LMP=4x+3 and m<LMN=10x-6. Find m<LMN.

Question

I understand how to find adjacent angles and the complement. I don't understand what I am supposed to do? Since it already give you the answer 10x-6, should I solve for x?

Answer 1

since MP bisects <LMN, m<LMP is 1/2 of m<LMN. So,

m<LMN = 2(m<LMP)
10x-6 = 2(4x+3)
Now find x and m<LMN = 10x-6

Answer 2

Thank you! :)