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?
1 answer:
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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