mo bisects angle lmn,m angle lmn = 6x-20, m angle lmo= x+32 find m angle nmo but how if i don't know what lmn is

Answer 1

well, you said angle LMN = 6x-20
and angle LMO bisects angle LMN and angle LMO = x+32

so (1/2)(6x-20) = x+32
3x-10 = x+32
2x = 42
x = 21

so angle LMN = 6(21) - 20 = 106

check:
then angle LMO = 21+32 = 53 , which is half of 106