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
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
To find the measure of angle NMO, we need to consider that angle LMO and angle LMN form a straight line or a straight angle, which measures 180 degrees. Since MO is the bisector of angle LMN, it splits the angle into two equal parts.
So, if angle LMO measures x + 32 degrees, angle LMN measures 6x - 20 degrees, and angle NMO measures y degrees, we can set up the equation:
x + 32 + y + 6x - 20 = 180
By combining like terms, the equation becomes:
7x + y + 12 = 180
Now, in order to solve for y (the measure of angle NMO), we need to have a value for x. Unfortunately, the given information does not specify the value of x or provide any additional information to find its value. Without knowing x, we cannot determine the exact measure of angle NMO.