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

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

From the above info you know

lmo=nmo and lmo+nmo=lmn

so 2(lmo)=lmn

2(x+32)=6x-20
2x+64=6x-20
2x+84=6x
84=4x
21=x

you know lmo=x+32=21+32=53

you also know lmo=nmo so nmo=53