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

Question

sp2606 [1]

2 years ago

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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] · Answer 1 · 2022-06-08T13:37:20+03:00

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°.