Based on the image, what is the value of angle AOB and angle ABC?

Based on the image, the following values are given:

• Angle AOB = 100 degrees
• Angle ABC = ?

To find the value of angle ABC, we need more information or context. The image shows a circle with points A, B, C, and O, where O is likely the center of the circle. A line segment connects A and B, and another segment connects A to O, and O to B. There is also a line passing through C, B, and another point labeled '9' (which might be another point or a label for a line). The angle AOB is given as 100 degrees. Angle ABC is an inscribed angle subtended by arc AC. However, the measure of arc AC is not directly given, nor is the measure of angle AOC (the central angle subtended by arc AC).

If we assume that the line passing through C, B, and '9' is a straight line or a tangent, or if there's a relationship between the arc AB and arc AC that isn't explicitly stated, we might be able to find ABC. Without further information or clarification, it's impossible to determine the value of angle ABC.

Answer:

• Angle AOB = 100 degrees
• Angle ABC = Cannot be determined from the given information.