Answer:
The measurement of arc KL is [tex]8\°[/tex]
Step-by-step explanation:
Let
x--------> the measure of arc KL
y-------> the measure of arc MJ
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]
we have
[tex]m<MEJ=16\°[/tex]
[tex]y=5x[/tex]
substitute the given value
[tex]16\°=\frac{1}{2}(5x-x)[/tex]
[tex]32\°=(4x)[/tex]
[tex]x=8\°[/tex]
therefore
The measurement of arc KL is [tex]8\°[/tex]
