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To solve for \( m \angle AOC \), we can use the fact that the sum of adjacent angles around a point \( O \) is \( 180^\circ \). Specifically:

- \( m \angle AOB = 47^\circ \)
- \( m \angle BOC = 59^\circ \)

Since we are looking for \( m \angle AOC \), we know:

\[
m \angle AOC = m \angle AOB + m \angle BOC
\]

Substitute the given values:

\[
m \angle AOC = 47^\circ + 59^\circ = 106^\circ
\]

Thus, the measure of \( \angle AOC \) is **106** (no degree symbol as requested).

Would you like more details on this solution or have any questions?

Here are 5 related questions to expand on the topic:
1. How would you find the measure of \( \angle COD \)?
2. What is the sum of the angles around point \( O \)?
3. How can adjacent angles be used to solve problems in geometry?
4. What is the difference between adjacent and complementary angles?
5. How would you solve for angles in a similar figure where the angles form a straight line?

**Tip**: In geometry, always remember that the sum of angles around a point equals 360°, which can help solve many problems involving angles around a central point!

What is m∠AOC if m∠AOB = 47° and m∠BOC = 59°?

Learn how to find the measure of angle AOC by adding the adjacent angles AOB and BOC. This problem involves basic geometric concepts of adjacent angles and is suitable for students in Grades 6-8.

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