Answer:
The measure of angle JKP is 61°
Step-by-step explanation:
we know that
If the measure of angle m<LOI=38°
then
m arc IL=38° -----> by central angle
and
If the measure of angle m<JOP=84°
then
m arc JP=84° -----> by central angle
Remember that
The measure of the interior angle is the semi-sum of the arcs that comprise it and its opposite.
so
m<JKP=(1/2)[arc IL+arc JP]
substitute the values
m<JKP=(1/2)[38°+84°]=61°
