Answer:
a = 43°
b = 90°
c = 43°
Step-by-step explanation:
Since, angle inscribed by a semicircle measure 90°.
Therefore, measure of angle 'b' = 90°
Since, measure of the intercepted arc in a semicircle = 180°
Therefore, c° + 137° = 180°
c = 180 - 137
c = 43°
Since, measure of the intercepted arc is double of the inscribed angle.
Therefore, 2(a) = 130°
a = 65°
