Answer
a = 85 degrees
b = 47.5 degrees
c = 90 degrees
Work Step by Step
1. solve for b
half of 95 will be b
95 / 2 = 47.5
b = 47.5 degrees
2. solve for c
half of 180 (semi-circle because line passes through the center) = c
180 / 2 = 90
c = 90 degrees
3. solve for a
circle = 360 degrees
a = 360 - 95 - 180
a = 85 degrees