Answer:
The measure of arc JM is [tex]155\°[/tex]
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs which comprises
so
[tex]40\°=\frac{1}{2}(arc\ JM-arc\ KM)[/tex]
substitute the given value
[tex]40\°=\frac{1}{2}(arc\ JM-75\°)[/tex]
[tex]80\°=(arc\ JM-75\°)[/tex]
[tex]arc\ JM=80\°+75\°=155\°[/tex]
