If l is parallel to m, what is the relationship between 3 and 7? They are congruent because they are alternate external angles.
They are congruent because they are corresponding angles. They are supplementary because they are corresponding angles. They are supplementary because they are alternate internal angles
So, you just have to recognize the line splitting the circle in half, line LJ. So, if JC (arc) is 94, then do 180-94=86. ∠LJC is an inscribed angle, so it's half of 86, which is 43°.