The image you uploaded shows diagrams of angles and arcs, likely related to circle geometry, where the angle is related to the intercepted arc. Here’s a breakdown of what the image represents:

1. The first diagram involves a circle with an angle. The measure of the angle is half of the measure of the intercepted arc.

   • In this case, the intercepted arc is marked as 120°, so the angle formed would be half of 120°, which equals 60°.

2. The second diagram involves a central angle (an angle at the center of the circle). The measure of the central angle is equal to the measure of the intercepted arc.

   • Here, the intercepted arc is given as 200°, so the measure of the central angle is 200°.

To summarize:

• The first angle (inscribed angle) = 60° (half of 120°).
• The second angle (central angle) = 200° (equal to the intercepted arc).

Would you like further details on these types of angles or circle geometry in general? Let me know if you have any questions!

Related questions:

1. What is the relationship between central angles and inscribed angles in a circle?
2. How can you calculate the measure of an angle when the intercepted arc is given?
3. What happens to the inscribed angle if the intercepted arc is greater than 180°?
4. Can you explain how to solve problems involving angles and chords in a circle?
5. How does the position of the vertex affect the measure of the angle in a circle?

Tip: Always remember that the measure of an inscribed angle is half the measure of its intercepted arc!