Question 716555
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the supplement of an angle is 10 less than three times its complement. what is the measure of the angle?
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<pre>
Let x be the measure of the angle, in degrees.

Then the supplement is (180-x) degrees and the complement is (90-x) degrees.


Your equation is

    180 - x = 3(90-x) - 10.


Simplify and find x

    180 - x = 270 - 3x - 10,

    3x - x = 270 - 10 - 180,

       2x  =       80

        x  =       80/2 = 40.


<U>ANSWER</U>.  The measure of the angle is 40 degrees.
</pre>

Solved.


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The solution and the answer in the post by @lynnlo both are incorrect,
so ignore his post.