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Answer:
- GX = 122°
- XU = 148°
- UG = 90°
Explanation:
Each arc has the same measure as its central angle. The sum of all of them is 360°.
angle UOG is marked as a 90° angle, so arc UG is 90°.
angle GOX is marked as 122°, so arc GX is 122°.
angle XOU fills out the rest of 360°, so its measure is 360° -90° -122° = 148°. That means are XU is 148°.
The arc measures are ...
- GX = 122°
- XU = 148°
- UG = 90°