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