Respuesta :
Answer:
[tex]arc\ JM=132^o[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
we know that
[tex]arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o[/tex] ----> by complete circle
substitute the given values
[tex](13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o[/tex]
solve for x
[tex](33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10[/tex]
step 2
Find the measure of arc JM
[tex]arc\ JM=(13x+2)^o[/tex]
substitute the value of x
[tex]arc\ JM=(13(10)+2)^o=132^o[/tex]