Answer:
∠M=85 the shortest side is segment LM
Step-by-step explanation:
To figure out ∠m you need to add all of the angles together and make them equal 180.
(2x+5)+(3x+10)+(x+15)=180 Set the angles up to 180
6x+30=180 Combind like terms
6x=150 Subtract 30 from both sides
x=25 Divide by 6
Now you take x and plug it into ∠M
3x+10 The equation for angle M
3(25)+10 Add x into the equation
75+10 Multiply 3 by 25
85 Add 10
85=∠M
This is angle M. Now you have to do this for the rest of the of the angles.
2x+5 The equation for angle L
2(25)+ 5 Add x into the equation
50+5 Multiply 2 by 25
55 Add 5
55=∠L
x+15 The equation for angle N
(25)+15 Add x into the equation
25+15 Add 15
40
40=∠N
