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anonymous

  • one year ago

An angle has a measure of (5x+7)°, and another angle has a measure of (2x+54)°. Together, they form a linear pair. Find the measure of the smaller angle. (no image).

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  1. triciaal
    • one year ago
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    linear pair means the sum of the angles = 180

  2. triciaal
    • one year ago
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    |dw:1437977341370:dw|

  3. anonymous
    • one year ago
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    I added the two equations together and puts " = 180" and I solved for x. I got 17, and I plugged 17 into (2x + 54). I then got 88 degrees. two of my options for multiple choice are 17 degrees and 88 degrees, but I do not know which one to put for my answer..

  4. triciaal
    • one year ago
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    |dw:1437977415660:dw|

  5. triciaal
    • one year ago
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    read the question again

  6. anonymous
    • one year ago
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    I'm thinking the correct answer is 88 degrees, because if the answer was 17 degrees, the directions would have said "solve for x", I think so at least..

  7. triciaal
    • one year ago
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    |dw:1437977490480:dw|

  8. triciaal
    • one year ago
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    don't think so much

  9. triciaal
    • one year ago
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    so you have the equation and solve for x correct x = 17

  10. triciaal
    • one year ago
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    now substitute and find the angles 88 and 92 (remember they add to 180?)

  11. triciaal
    • one year ago
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    Here is your question "Find the measure of the smaller angle."

  12. nincompoop
    • one year ago
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    I would suggest to figure out what does the word linear pair mean :) then all will be easy as pie

  13. anonymous
    • one year ago
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    so 88 is the correct answer? Because the directions said to find the measurement of the smaller angle

  14. triciaal
    • one year ago
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    correct !!

  15. anonymous
    • one year ago
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    Thank you @nincompoop :)

  16. nincompoop
    • one year ago
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    Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)

  17. anonymous
    • one year ago
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    Thank you @triciaal :)

  18. nincompoop
    • one year ago
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    the rest is just an algebraic manipulation (5x+7) + (2x+54) = 180

  19. nincompoop
    • one year ago
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    solve for x :)

  20. triciaal
    • one year ago
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    you are welcome

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