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To find the measure of the indicated arc \(\overarc{CB}\), let's use the properties of the inscribed angles.

### Given:
- The inscribed angle \(\angle CAB = 67^\circ\).

### Key Concept:
- The measure of an inscribed angle is half the measure of the arc it subtends.

Since \(\angle CAB\) subtends the arc \(\overarc{CB}\), the measure of the arc \(\overarc{CB}\) can be found using the formula:
\[
\overarc{CB} = 2 \times \angle CAB = 2 \times 67^\circ = 134^\circ
\]

### Conclusion:
The measure of the indicated arc \(CB\) is \(134^\circ\).

Would you like any further details or have any questions?

### Related Questions:
1. How would you calculate the measure of arc \(\overarc{AC}\) in the same circle?
2. If angle \(\angle CBA\) is given, how would you find the measure of the arc \(\overarc{CA}\)?
3. What is the total measure of all the arcs in a circle?
4. How can you determine the measure of a central angle corresponding to a given arc?
5. What would be the measure of the angle \(\angle ABC\) if \(\overarc{AC}\) is \(134^\circ\)?

### Tip:
Always double-check if the angle provided is central or inscribed, as this determines whether you double or halve the angle to find the corresponding arc.

Learn how to find the measure of an indicated arc \(\overarc{CB}\) in a circle using the properties of inscribed angles. Detailed step-by-step solution with calculations and formula application. Suitable for high school students learning geometry.

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