Lianguiren1977 Lianguiren1977
  • 12-03-2021
  • Mathematics
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Determine the value of x in the circle below

Determine the value of x in the circle below class=

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sqdancefan
sqdancefan sqdancefan
  • 12-03-2021

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The external angle (12°) is half the difference of the intercepted arcs. The two intercepted arcs have a total measure of ...

  180° -148° = 32°

and their difference is 2×12° = 24°

So, we have ...

  (32° -x°) -x° = 24°

  32° -24° = 2x°

  x° = 4°

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