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anonymous

  • one year ago

degree measure of an angle is 40° less than 3 times the degree measure of its supplementary angle, what is the degree measure of the angle? A. 50° B. 55° C. 125° D. 130°

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  1. mathstudent55
    • one year ago
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    Do you know what supplementary angles are?

  2. anonymous
    • one year ago
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    180 degrees

  3. Kash_TheSmartGuy
    • one year ago
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    Angles which have a sum of 180degrees!

  4. mathstudent55
    • one year ago
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    Correct. Two angles whose measures add up to 180 degrees.

  5. mathstudent55
    • one year ago
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    Let's call for now the angles x and y. From the fact they are supplementary, we know: x + y = 180

  6. anonymous
    • one year ago
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    yes

  7. anonymous
    • one year ago
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    90 plus 90

  8. anonymous
    • one year ago
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    are u there

  9. mathstudent55
    • one year ago
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    90 plus 90 is an example of two supplementary angles Now let's see what our supplementary angles measure.

  10. anonymous
    • one year ago
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    so the answer would be c then

  11. mathstudent55
    • one year ago
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    Once again, the angles measure x and y. x + y = 180 Let's solve this equation for y: y = 180 -x That means the two angles measure x and 180 - x

  12. mathstudent55
    • one year ago
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    Now we use the given info. "an angle is 40° less than 3 times the degree measure of its supplementary angle" x = 3(180 - x) - 40 3(180 - x) - 40 + 180 - x = 180 540 - 3x - 40 - x = 0 -4x + 500 = 0 -4x = -500 x = 125

  13. mathstudent55
    • one year ago
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    Correct. The answer is C. 125 deg.

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