Answer:
1. Arc BC = 78°
2. Arc ABC = 180°
3. Arc ADB = 258°
4. Arc EC = 102°
Explanation:
Question 1 explanation: Since ∠AFE and ∠CFB are vertical angles, that means their angle measure is equal, so Arc BC has an angle measure of 78°.
Question 2 explanation: Because AC is the diameter of circle F, this means that the angle measure of Arc ABC is 180°.
Question 3 explanation: Since the angle measure of AC is 180° and ∠AFE and ∠EFD are 78° and 54° respectively, that means Arc DFC has an angle measure of 48°. Because you already know ∠CFB is 78°, that means Arc ADB has an angle measure of 258°.
Question 4 explanation: You already know Arc DFC is 48°, so Arc EC has an angle measure of 102°.