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  • 30-12-2020
  • Mathematics
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The question is below

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sqdancefan
sqdancefan sqdancefan
  • 30-12-2020

9514 1404 393

Answer:

  162°

Step-by-step explanation:

The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.

So, central angle ABC is twice the measure of inscribed angle ADC:

  m∠ABC = 2·81° = 162°

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