Answer: 17º, 75º, and 149º.
Step-by-step explanation:
A minor arc is less than 180º
The possible measures of the angle at the center of the circle formed by the minor arc are 17°, 75°, and 149°.
A major arc is an arc in the circle which measures less than 180° at the center of the circle, while a major arc is an arc that measures more than 180° at the center of the circle.
We know about the major and minor arc, therefore, from all the given options, 17°, 75°, and 149° are the measure of the angle that is less than 180°. Thus, these angles are will form the minor arc.
Hence, the possible measures of the angle at the center of the circle formed by the minor arc are 17°, 75°, and 149°.
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