28.
Arc BC = 107 degrees
---Since the given angle is on the center of the circle, the arc has the same measure.
Angle BAC = 53.5 degrees
---Since this is an inscribed angle, the measure of the angle is half of the corresponding arc.
29.
Arc BC = 92 degrees
---Since we are given an inscribed angle, the corresponding arc is double the measure of the angle.
Hope this helps!