https://file.aiquickdraw.com/mathbot/file/172994925133069diomud.jpg

Let's analyze each question in turn.

### Question 3

In this problem:
- \( O \) is the center of the circle.
- The segments \( CD = DE = EF = FG \).
- We are given \( \angle COE = 80^\circ \), and we need to find \( \angle DOG \).

Since \( CD = DE = EF = FG \), each of these segments subtends an equal angle at the center. This divides the entire angle around the center (360 degrees) into 4 equal parts.

1. **Calculate Each Angle Subtended**:  
   Since \( COE \), \( EOG \), \( DOG \), and \( COD \) are equal,
   \[
   \text{Each angle} = \frac{360^\circ}{4} = 90^\circ
   \]

2. **Find \( \angle DOG \)**:  
   Since \( \angle COE = 80^\circ \) is less than 90 degrees, it implies that the question is to evaluate the sum of angles involved in the

3) In the given figure, O is the center of the circle and CD = DE = EF = FG. If ∠COE = 80°, then ∠DOG is equal to:

4) In figure, BC is a diameter of the circle and ∠BOA = 70°. Then, ∠ADC is equal to:

Explore solutions to circle geometry problems involving central and inscribed angles. In these problems, learn to find ∠DOG and ∠ADC using concepts like the Inscribed Angle Theorem and the Central Angle Theorem. Ideal for students in Grades 9-10.

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