Question 1132846
The measurement of the complement of an angle is 39 degrees more than the angle. Find the measurement of the angle and it complement. 
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            Since the solution by Alan is INCORRECT,  I came to provide a correct one  for you . . . 



<pre>
Let A be the angle you are looking for.


Then the complement is  90 - A degrees.


The condition says that the complement of the angle is 39 degrees more tan the angle. 
It means


    90 - A = A + 39.


    90 - 39 = A + A

    2A = 51  ====>  A = 51/2 = 25.5 degrees = 25 degrees and 30 minutes.
</pre>

Solved, explained and completed.


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To learn the subject, look into the lessons

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

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

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/How-to-solve-problems-on-suppl-compl-or-vertical-angles-Examples.lesson>HOW TO solve problems on supplementary, complementary or vertical angles - Examples</A>

in this site.