https://file.aiquickdraw.com/mathbot/file/1725455731792w4hdzbxr.jpg

The image appears to be rotated, and the text is aligned vertically. Let me analyze and extract the text content from the image for further analysis.

### Extracted Text:
From the image, I can see the following:

**Text:**
- "If ∠AOB = 100° then ∠ACB = ?"  
- "Two circles touch externally. A common tangent AB touches the two circles at A and B respectively."

### Problem Analysis:

1. **First Problem:**
   - Given: \( \angle AOB = 100^\circ \)
   - Find: \( \angle ACB \)

2. **Second Problem:**
   - Two circles touch externally, and a common tangent \( AB \) touches the two circles at points \( A \) and \( B \), respectively.
   - Find the relationship or value based on this configuration.

Would you like me to solve these problems?

Solve this geometry problem involving circles and angles: If ∠AOB = 100°, find ∠ACB. This problem covers important concepts such as the Inscribed Angle Theorem and is suitable for students in Grades 9-10.

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