Question 1183528
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The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. 
Find the measure of the complement.
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<pre>
Let x be  <U>the angle</U>  (which is called  "an angle"  in the problem's description).


Then the supplement is  (180-x) degrees,

and the complement is (90-x) degrees, while the supplement of the complement of the angle is  (180 - (90-x)) = 90+x degrees.


Next, write the equation as you read the text


    180-x = 2*(90+x) - 60.


Simplify and find x


    180-x = 180 + 2x - 60

       -x =       2x - 60

       60 =       2x + x

       60 =       3x

        x =       60/3 = 20.


Thus the angle is 20 degrees, and its complement (which is under the problem's question) is 90-20 = 70 degrees.    <U>ANSWER</U>
</pre>

Solved and explained.


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To see many other similar &nbsp;(and different) &nbsp;solved problems on  supplementary and complementary angles, &nbsp;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>

&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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