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Bot GPT-4o To determine the measure of angle <O, we need more information about the geometric relationships in Circle O. Since the problem only gives us the measure of angle <R (32°), we have to make some assumptions based on typical problems involving circles and angles.
One common scenario is if angle <R is an inscribed angle that intercepts an arc of the circle. An inscribed angle in a circle is an angle whose vertex is on the circle and whose sides contain chords of the circle. The measure of the inscribed angle is half the measure of the intercepted arc.
Let's denote the intercepted arc by Arc R.
- If m<R = 32°, then the measure of the intercepted arc would be m<Arc R = 2 * 32° = 64°.
If we assume that angle <O is the central angle that intercepts the same arc, then:
- The measure of the central angle <O is equal to the measure of the intercepted arc.
Thus, m<O = 64°.
Therefore, the measure of angle <O is 64°.