SOLUTION: I have had very little geometry and don't even know where to begin with this problem. If one-half of the complement of an angle plus three-fourths of the supplement of the angle e

Question 12604: I have had very little geometry and don't even know where to begin with this problem.
If one-half of the complement of an angle plus three-fourths of the supplement of the angle equals 110 degrees, find the measure of the angle.
I appreciate the help tons!!!
capesch
Answer by AdolphousC(70) (Show Source): You can put this solution on YOUR website!
An angle and its compliment equal 90 degrees, an angle and its supplement equal 180 degrees, but using these two pieces of information we can solve your problem easily.

Start by Defining your angles...
Let X be your Angle
90 - X is your complement
180 - X is your supplement

Now we just need to write the equation

Now we do Algebra
combine like terms
Subtract 280 from both sides
Multiply Both sides by
So our angle measure is 136 Degrees

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