SOLUTION: Angles A and B complimentary angles. Find angles A and B. Angle A = 4x+31 Angle B =-2x+44

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Question 1208246: Angles A and B complimentary angles. Find angles A and B.
Angle A = 4x+31
Angle B =-2x+44
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Angles A and B are complementary angles. Find angles A and B.
Angle A = 4x+31
Angle B =-2x+44
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Complementary angles sum up to 90 degrees

    (4x+31) + (-2x+44) = 90  degrees

     4x + 31 - 2x + 44 = 90

     4x - 2x + 75 = 90

     2x = 90 - 75

     2x = 15

      x = 15/2 = 7.5  degrees.


Angle A is  4x+31 = 4*7.5+31    = 30+31    = 61 degrees.

Angle B is -2x+44 = -2*7.5 + 44 = -15 + 44 = 29 degrees.


CHECK.  61 + 29 = 90 degrees.  ! correct !

Solved.

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    - Angles basics
    - Vertical angles
    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples
    - Solved problems on supplementary and complementary angles
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