Answer:
x=32
M=115
N=50
Step-by-step explanation:
Since we know that all the angles of a triangle add up to 180, we can find the value of x by making it an equation.
x+18+4x-13+15=180
Now solve for x.
Add like terms.
5x+20=180
Subtract 20 on both sides.
5x=160
Divide both sides by 5 to isolate x.
x=32.
Now, substitute into 32 for x into the equations to find the measures of the angles.
32+18=50 so the measure of angle n is 50.
4(32)-13
128-13=115 so angle M is 115.
Now we can check the angles.
115+50+15=180?
165+15=180
180=180.
Hope this helps!
