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brookieismyname

  • 2 years ago

The circle shown below has AB and BC as its tangents. If the measure of arc AC is 130°, what is the measure of angle ABC? 80° 65° 70° 75°

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  1. brookieismyname
    • 2 years ago
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  2. integralsabiti
    • 2 years ago
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    |dw:1335032976626:dw|

  3. brookieismyname
    • 2 years ago
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    |dw:1335033326418:dw|

  4. imagreencat
    • 2 years ago
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    Arc AC is the part of the circle connecting A and C. It lies on the circumference of the circle.

  5. integralsabiti
    • 2 years ago
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    |dw:1335033299166:dw|

  6. brookieismyname
    • 2 years ago
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    What does that say?

  7. brookieismyname
    • 2 years ago
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    I need to know how to find the measure of abc

  8. imagreencat
    • 2 years ago
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    The angle is actually equal to the (far arch-near arc)/2. The far arc is the one farther from the angle unknown. Since near arc = 130, far arc = 230. Therefore, the unknown angle is (230-130)(1/2) = (100/2) = 50 deg.

  9. brookieismyname
    • 2 years ago
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    Thats not one of the options though

  10. integralsabiti
    • 2 years ago
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    @eigenschmeigen take a look at this pls.

  11. eigenschmeigen
    • 2 years ago
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    yeah i got 50 ill show:

  12. smr_kml
    • 2 years ago
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    There is no right answer

  13. smr_kml
    • 2 years ago
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    the answer is 50

  14. estudier
    • 2 years ago
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    I aslo get 50 (draw line from centre to B, Pythagorus)

  15. eigenschmeigen
    • 2 years ago
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    |dw:1335033823663:dw|

  16. integralsabiti
    • 2 years ago
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    @eigenschmeigen my man! love ur answers :D

  17. smr_kml
    • 2 years ago
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    |dw:1335033908901:dw|

  18. eigenschmeigen
    • 2 years ago
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    |dw:1335033879923:dw| break it into two triangles, and we know triangles have interior angles that add up to 180 so that quadrilateral has 360 as the sum of its interior angles so \[130 + 90 + 90 +\alpha = 360 \] so\[\alpha = 360 - 90 -90 -130 = 50\]

  19. brookieismyname
    • 2 years ago
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    The only problem is fifty's not an option

  20. eigenschmeigen
    • 2 years ago
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    aw thanks @integralsabiti :D means a lot to me

  21. integralsabiti
    • 2 years ago
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    oh yeaaa :D that is the best part!

  22. eigenschmeigen
    • 2 years ago
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    hmm 50 isnt an answer is it

  23. brookieismyname
    • 2 years ago
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    No

  24. integralsabiti
    • 2 years ago
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    if @eigenschmeigen says that the answer is 50 then u should make a new option :D option E.

  25. eigenschmeigen
    • 2 years ago
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    haha

  26. smr_kml
    • 2 years ago
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    :D

  27. eigenschmeigen
    • 2 years ago
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    i'll check through the problem see if we missed something

  28. eigenschmeigen
    • 2 years ago
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    i cant see any errors :/

  29. eigenschmeigen
    • 2 years ago
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    i checked it using some geometry software, its 50 for sure

  30. integralsabiti
    • 2 years ago
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    Abselutely agree.

  31. brookieismyname
    • 2 years ago
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    The answer was 65 degrees, @eigenschmeigen @integralsabiti

  32. eigenschmeigen
    • 2 years ago
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    im sorry, but either the answers are wrong or have written the question wrong i say this in the nicest possible way of course :) where was this question from?

  33. eigenschmeigen
    • 2 years ago
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  34. brookieismyname
    • 2 years ago
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    A test

  35. eigenschmeigen
    • 2 years ago
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    and you're sure its 130?

  36. brookieismyname
    • 2 years ago
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    I got it right, I guessed the right answer. It was 65

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