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Colt45

  • 3 years ago

Find the value of x. Then find the measure of each labeled angle

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  1. Colt45
    • 3 years ago
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    |dw:1351132812622:dw|

  2. lgbasallote
    • 3 years ago
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    ahh transversals huh

  3. Colt45
    • 3 years ago
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    i guess so

  4. lgbasallote
    • 3 years ago
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    here's a hint: |dw:1351132987818:dw| those angles are equal

  5. lgbasallote
    • 3 years ago
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    does that give you any ideas?

  6. Colt45
    • 3 years ago
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    i just dont know where to start

  7. Colt45
    • 3 years ago
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    i dont know what to make it equal

  8. lgbasallote
    • 3 years ago
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    from your drawing...what are the angles that are equal?

  9. Colt45
    • 3 years ago
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    3x+23 and y

  10. lgbasallote
    • 3 years ago
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    and?

  11. lgbasallote
    • 3 years ago
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    what else?

  12. Colt45
    • 3 years ago
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    idk

  13. lgbasallote
    • 3 years ago
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    look clsoely at your drawing

  14. Colt45
    • 3 years ago
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    do i combine the two equations and make them equal to 180

  15. lgbasallote
    • 3 years ago
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    |dw:1351133521610:dw| what are the angles there?

  16. Colt45
    • 3 years ago
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    the top left one needs to be down on the underside of that line in my picture i tried to draw a arrow

  17. lgbasallote
    • 3 years ago
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    ?

  18. lgbasallote
    • 3 years ago
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    well then...that's different....

  19. Colt45
    • 3 years ago
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    |dw:1351133688499:dw|

  20. lgbasallote
    • 3 years ago
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    so only 3x + 23 are equal

  21. lgbasallote
    • 3 years ago
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    3x + 23 and y are equal*

  22. Colt45
    • 3 years ago
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    yeah my bad

  23. lgbasallote
    • 3 years ago
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    then 2x + 12 and y are linear pairs....so like you said...they add up to 180 2x + 12 + y = 180

  24. lgbasallote
    • 3 years ago
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    and since y and 3x + 23 are equal, you can substitute 2x + 12 + 3x + 23 = 180 solve for x

  25. Colt45
    • 3 years ago
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    y is the same as 3x + 23?

  26. lgbasallote
    • 3 years ago
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    do you know the rest from there?

  27. Colt45
    • 3 years ago
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    only if x = 29...

  28. Colt45
    • 3 years ago
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    i think so

  29. lgbasallote
    • 3 years ago
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    2x + 12 + 3x + 23 = 180 5x + 35 = 180 5x = 145 x = 29 right

  30. Colt45
    • 3 years ago
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    i got it. thanks

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