Answer:
[tex]44^\circ[/tex]
Step-by-step explanation:
The angle measuring [tex]y^\circ[/tex] is formed by two secants intersecting at an exterior point.
The measure of that angle is half the difference between the big intercepted arc and the little intercepted arc.
y = 1/2 (m arc FKB - m arc CGJ)
Plug in the values you know.
56 = 1/2 (156 - m arc CGJ)
Multiply both sides by 2 to clear the fraction.
112 = 156 - m arc CGJ
Subtract 156.
-44 = - m arc CGJ
44 = m arc CGJ
The measure of the little intercepted arc is [tex]44^\circ[/tex].
