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sp2606 [1]
3 years ago
11

The measure of the central angle AOB is by 30° greater than the measure of the inscribed angle which intercepts arc AB. What are

the measures of these angles?
Mathematics
1 answer:
liberstina [14]3 years ago
5 0

Answer:

  • inscribed angle: 30°
  • central angle: 60°

Step-by-step explanation:

The central angle is double the inscribed angle for the same intercepted arc. Since doubling the angle adds 30° to it, the original inscribed angle must be 30°.

Then the central angle is 30°+30° = 2·30° = 60°.

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