Question 1208246
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Angles A and B {{{highlight(cross(complimentary))}}} <U>are complementary</U> angles. Find angles A and B.
Angle A = 4x+31
Angle B =-2x+44
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<pre>
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.


<U>CHECK</U>.  61 + 29 = 90 degrees.  ! correct !
</pre>

Solved.


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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Angles/Vertical-Angles-.lesson>Vertical angles</A> 

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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-supplementary-and-complementary-angles-and-pairs-of-angles.lesson>Solved problems on supplementary and complementary angles</A>
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