Answer:
Using the inscribed angle theorem, we know that the measure of an inscribed angle is equal to half the measure of the central angle that intercepts the same arc. So, we need to find the central angle measure for each of the inscribed angles.
For angle a, the central angle measure is 80°, so the measure of angle a is (1/2)*80° = 40°.
For angle b, the central angle measure is 120°, so the measure of angle b is (1/2)*120° = 60°.
For angle c, the central angle measure is 40°, so the measure of angle c is (1/2)*40° = 20°.
For angle d, the central angle measure is 140°, so the measure of angle d is (1/2)*140° = 70°.
For angle e, the central angle measure is 80°, so the measure of angle e is (1/2)*80° = 40°.
For angle f, the central angle measure is 60°, so the measure of angle f is (1/2)*60° = 30°.
Therefore, the degree measures of the angles are:
a = 40°
b = 60°
c = 20°
d = 70°
e = 40°
f = 30°
Step-by-step explanation: Did try my best