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erastova [34]
3 years ago
11

What steps would I take to solve this question?

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

9514 1404 393

Answer:

  arc FG = 115°

  arc EG = 165°

Step-by-step explanation:

The first step is to understand how these arcs are arranged on a circle. The next step is to realize the whole is the sum of the parts. Arcs have the same measure as their central angle. A circle totals 360°.

  arc EF + arc FG = arc EFG . . . . parts of an arc add to give the whole arc

  80° + arc FG = 195°

  arc FG = 115° . . . . . . . . . subtract 80°

__

Similarly, parts of a circle add to give the whole circle.

  arc EFG + arc EG = 360°

  195° + arc EG = 360°

  arc EG = 165° . . . . . . . . . subtract 195°

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