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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

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 class=

Respuesta :

Answer:

∠ ACB = 21°

Step-by-step explanation:

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

∠ ACB = [tex]\frac{1}{2}[/tex] ∠ AOB = [tex]\frac{1}{2}[/tex] × 42° = 21°

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