Question

Find the measure of each arc.

Answer 1

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Answer:

• GX = 122°
• XU = 148°
• UG = 90°

Step-by-step 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°