Question 945495
I had previously summed the angles to 180 but it should have been 360. 
There is still a problem.
Check the values of LMH,LMN, and HMN and verify that they are correct.
{{{drawing(300,300,-10,10,-10,10,locate(0,0,M),locate(2,6,L),locate(7.2,-1,H),locate(-6.8,-2,N),line(0,0,2,5),line(0,0,7,-1),line(0,0,-6,-2))}}}
Here's a diagram showing the lines and angles.
{{{LMN+HMN+LMH=360}}}
{{{44x+3+96+20x+3=360}}}
{{{64x+102=360}}}
{{{64x=258}}}
{{{x=258/64}}}
{{{x=129/32}}}
So then,
{{{LMN=44x+3}}}
{{{LMN=44(129/32)+3}}}
{{{LMN=1419/8+24/8}}}
{{{LMN=1443/8}}}
{{{LMN=180&3/8}}}