The image shows a circle centered at point O angle AOB Measures at 42 degrees. What is the Measure of the angle acb explain your reasoning

Anto Varghese asked Mar 8, 2023

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The image shows a circle centered at point O angle AOB Measures at 42 degrees.

What is the Measure of the angle acb explain your reasoning

Anto Varghese asked Mar 8, 2023

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22 votes

Answer:

∠ ACB = 21°

Explanation:

the inscribed angle ACB is half the central angle AOB , subtended by the same arc AB , then

∠ ACB =
(1)/(2) ∠ AOB =
(1)/(2) × 42° = 21°

Gauge answered Mar 15, 2023

by Gauge

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