Question 1169130
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<pre>

Let x be the measure of the smaller angle.


Then the measure of the larger angle is  2x-9 degrees.


The sum of the measures is 90 degrees, since the angles are complementary.


    x + (2x-9) = 90  degrees.


Simplify and find x


    3x = 90 + 9

    3x = 99

     x = 99/3 = 33.


<U>ANSWER</U>.  The smaller angle is 33 degrees.

         The larger angle is 2*33-9 = 57 degrees.
</pre>

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To learn about complementary angles, &nbsp;read 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=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>

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