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kvasek [131]
3 years ago
11

Help please! I have 35 minutes left

Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer:

1. Arc BC = 78°

2. Arc ABC = 180°

3. Arc ADB = 258°

4. Arc EC = 102°

Step-by-step 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°.

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