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xoalyssaxo1

  • 2 years ago

Look at triangle EFG with its incenter at O. What is the measure of angle OFG? 60 degrees 100 degrees 30 degrees 140 degrees

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  1. xoalyssaxo1
    • 2 years ago
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    http://gyazo.com/50367497d031c314fcc86651c2ca9ed1

  2. anas2000
    • 2 years ago
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    I think its 60 degrees

  3. xoalyssaxo1
    • 2 years ago
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    I was thinking it'd be bigger because of the 80 on smaller side idk

  4. anas2000
    • 2 years ago
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    it cant be 100 or 140 because there both to big so it ether 30 or 60

  5. xoalyssaxo1
    • 2 years ago
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    @Hero can you help real quick to confirm if its 60?

  6. Hero
    • 2 years ago
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    There's only one possible option.

  7. Hero
    • 2 years ago
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    ∠OGF = 40°

  8. xoalyssaxo1
    • 2 years ago
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    This kind of problem confuses me because it doesn't add up to just 180.

  9. anas2000
    • 2 years ago
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    it might be 30

  10. Hero
    • 2 years ago
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    There's one specific clue. If you look at ∠OFG, you'll notice that it is very acute.

  11. anas2000
    • 2 years ago
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    so its 30

  12. Hero
    • 2 years ago
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    But ∠OGF + ∠GOF + ∠OFG = 180° 40° + 110° + x = 180°

  13. Hero
    • 2 years ago
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    Yes, it is 30

  14. xoalyssaxo1
    • 2 years ago
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    Oh so when I add all the angles it does become 180

  15. xoalyssaxo1
    • 2 years ago
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    Thanks guys

  16. Hero
    • 2 years ago
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    Yes, exactly.

  17. Hero
    • 2 years ago
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    The angles within a triangle must add to 180 in order for it to be a triangle.

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spraguer (Moderator)
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