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anonymous

  • one year ago

WILL GIVE MEDALS!!!!! The measure of the second angle of a triangle is twice the measure of the first angle. The measure of the third angle is 10° less than the measure of the first angle. Find the measure of the second angle.

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  1. anonymous
    • one year ago
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    The answer choices: A. 47.5° B. 80° C. 37.5° D. 95°

  2. welshfella
    • one year ago
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    let first angle = x then second angle = 2x

  3. anonymous
    • one year ago
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    Okay what next?

  4. welshfella
    • one year ago
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    and third angle = x - 10

  5. anonymous
    • one year ago
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    Then?

  6. welshfella
    • one year ago
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    well the 3 angles add up to 180 so we can write an equation any ideas ?

  7. anonymous
    • one year ago
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    Nope that's why I'm asking for help. If I knew how to set it up I could most likely do it.

  8. welshfella
    • one year ago
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    x + 2x + x - 10 = 180 makes sense?

  9. welshfella
    • one year ago
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    the 3 angles are on the left and 180 on the right so now if you solve for x youll find the measure of the first angle second angle = 2 8 x

  10. welshfella
    • one year ago
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    * 2 * x

  11. anonymous
    • one year ago
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    Okay how do I set up that part.

  12. welshfella
    • one year ago
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    add up the first 3 terms x + 2x + x = ?

  13. anonymous
    • one year ago
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    ?

  14. welshfella
    • one year ago
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    the angle x + twice the angle x + angle x = how many angle x's?

  15. anonymous
    • one year ago
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    x + 2x + x = 3?

  16. welshfella
    • one year ago
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    1 + 2 + 1 = how many

  17. anonymous
    • one year ago
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    4, sorry I forgot to count both of the Xs for 2x.

  18. welshfella
    • one year ago
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    right 1 + 2 + 1 = 5 in same way x +2x + x = 4x

  19. welshfella
    • one year ago
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    * lol thats 4 NOT 5!!

  20. welshfella
    • one year ago
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    so we have 4x - 10 = 180 add 10 to both sides 4x - 10 + 10 = 180 + 10 4x = 190 x = 190/4

  21. welshfella
    • one year ago
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    now divide 190 by 4 to get x then multiply the result by 2 to get the values of 2x which is the values of the second angle

  22. anonymous
    • one year ago
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    190 / 4 = 47.5 47.5 * 2 = 95

  23. welshfella
    • one year ago
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    correct

  24. anonymous
    • one year ago
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    That's the answer to the whole problem ain't it?

  25. anonymous
    • one year ago
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    Thanks

  26. welshfella
    • one year ago
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    yes yw

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