SOLUTION: The supplement of an angle measures 28 degree more than twice its complement. Find the measure of the angle.

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Question 12602: The supplement of an angle measures 28 degree more than twice its complement. Find the measure of the angle.
Answer by AdolphousC(70) About Me  (Show Source):
You can put this solution on YOUR website!
Define your variables,

Let X be your Angle

Then 180 - X is your Supplement
and 90 - X is your complement
Now you need to put these into an equation, this particular word probled does not have the equal sign "IS" however, the word measures, is the same, so that is where your = sign will go.


Your Equation should be...
180+-+X+=+2%2890-X%29+%2B+28


Distribute
180+-+X+=+180+-+2X+%2B+28


Subtract 180 From Both Sides and add 2X to Both Sides
X+=+28
Your angle is 28, the Supplement is 152 and your Complement is 62