Angle bisector=a line that splits two angles into two equal angles.
Therefore:m∠ LKM=m∠JKL
We have to find the value of "x";
We have to solve this equation:
(2x+10)+(3x-5)=80
5x+5=80
5x=80-5
5x=75
x=75/5
x=15
Now, we have to find the values of m∠ LKM and m∠JKL
m∠ LKM=2x+10=2.15+10=30+10=40º
m∠JKL=3x-5=3.15-5=45-5=40º
Therefore: m∠ LKM=m∠JKL, and Kl is bisector.
Answer: Her conclusion is correct because the value of x is 15