Math Problem Statement

If ∠AOB = 100° then ∠ACB = ?

Solution

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: AOB=100\angle AOB = 100^\circ
    • Find: ACB\angle ACB
  2. Second Problem:

    • Two circles touch externally, and a common tangent ABAB touches the two circles at points AA and BB, respectively.
    • Find the relationship or value based on this configuration.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angles
Circles

Formulas

Sum of angles in a triangle
Angle at the center and circumference theorem

Theorems

Inscribed Angle Theorem

Suitable Grade Level

Grades 9-10