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anonymous

  • one year ago

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original angle's supplement. What is the measure of the angle?

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  1. anonymous
    • one year ago
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    18° 48° 72° 108°

  2. anonymous
    • one year ago
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    @mathstudent55

  3. anonymous
    • one year ago
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    @Keigh2015

  4. Keigh2015
    • one year ago
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    Let the angle be x. Complement of x = 90 - x Supplement of x = 180 - x 4(90 - x) = 180 - x Find x from this...

  5. anonymous
    • one year ago
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    so i distribute it

  6. Keigh2015
    • one year ago
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    yeah but tell me what you get before you turn it in

  7. anonymous
    • one year ago
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    so it would B

  8. Keigh2015
    • one year ago
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    No

  9. anonymous
    • one year ago
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    how would i solve for X

  10. Keigh2015
    • one year ago
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    let the angle be x. then complement of that = 90-x so, 4 times of complement = 4(90-x) 2/3 of original angle's supplement= 2/3 (180-x) so, 4(90-x)= 2/3 (180-x) cross multiply: 12(90-x) = 360 - 2x 12*90 - 12x = 360 - 2x 1080- 360= 12x-2x

  11. Keigh2015
    • one year ago
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    Now you have to figure out the last part to get your answer

  12. anonymous
    • one year ago
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    C!

  13. anonymous
    • one year ago
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    thank yyou !

  14. Keigh2015
    • one year ago
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    Correct

  15. Keigh2015
    • one year ago
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    Your welcome

  16. mathstudent55
    • one year ago
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    angle is x complement is 90 - x supplement is 180 - x Now we follow the directions: 4 times the measure of the complement means 4(90 - x) that is equal to 2/3 of the supplement which means (2/3)(180 - x) \(4(90 - x) = \dfrac{2}{3}(180 - x) \)

  17. anonymous
    • one year ago
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    ty @mathstudent55 but i got it ! thank you for the help tho !

  18. mathstudent55
    • one year ago
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    You're welcome

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