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Emmaleee

  • 3 years ago

The circle shown below has AB and BC as its tangents. If the measure of arc AC is 160°, what is the measure of angle ABC? 80° 40° 60° 20°

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  1. LillieMax
    • 3 years ago
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    Can you post the image please?

  2. Emmaleee
    • 3 years ago
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  3. Emmaleee
    • 3 years ago
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    can anyone help me with this question ?

  4. cwrw238
    • 3 years ago
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    the angle subtended at center by arc AC = 160 the kite formed as 1 angle = 160 and 2 = 90 degrees so angle ABC = 369 - (90+ 90 + 160)

  5. cwrw238
    • 3 years ago
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    can you work that out?

  6. cwrw238
    • 3 years ago
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    are you there?

  7. Emmaleee
    • 3 years ago
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    sorry i was verifying my email

  8. Emmaleee
    • 3 years ago
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    529?

  9. cwrw238
    • 3 years ago
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    thats alright

  10. cwrw238
    • 3 years ago
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    work out whats in the parentheses first: 360 -(90+90+160) = 360 - 340 = 20

  11. Emmaleee
    • 3 years ago
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    so the answer is 20?

  12. cwrw238
    • 3 years ago
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    |dw:1342986914525:dw|

  13. cwrw238
    • 3 years ago
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    yes

  14. Emmaleee
    • 3 years ago
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    THANK YOU SO MUCH! :)

  15. cwrw238
    • 3 years ago
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    yw

  16. cwrw238
    • 3 years ago
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    hope you follow it ok - a kite is an example of a quadrilateral ( 4 sides) where the sum of the 4 angles = 360 degrees

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