Pineapples780
Pineapples780 Pineapples780
  • 13-09-2021
  • Mathematics
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Please help me understand

Please help me understand class=

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sqdancefan
sqdancefan sqdancefan
  • 13-09-2021

9514 1404 393

Answer:

  D.  86°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.

  274° + DF = 360°

  DF = 360° -274°

  DF = 86°

__

There are other relationships you can use to find arc DF. One of the simpler ones is ...

  DF and the external angle at E are supplementary:

  DF = 180° -94° = 86°

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