Answer:
8. mArc ED = 38°
9. mArc EA = 142°
10.mArc BDC = 308°
Explanation:
The measure of an a central angle and it's intercepted arc are equal
So if the measure of the angle for the angle that intercepts Arc ED is 38° the arc is also 38°
Same thing with Arc EA, the central angle that intercepts it is 142° so the measure of Arc EA is 142°
Arc BDC is a major arc so it is greater than 180°. It goes around the circle from point B to point C and point D is one of the points on the arc.
We could find the value of the arc two ways. We could add all the angles the that make up the central angle it is intercept by or we could simply subtract the 52° that isn'tt a part of the arc and subtract that from 360°
360 - 52 = 308
So the central angle intercepting Arc BDC is 308° so the arc also has a measure of 308°.