SOLUTION: If one-half of the complement of an angle plus three-fourths of the summplement of the angle equals 110 degrees, find the measure of the angle.

Question 83462This question is from textbook
: If one-half of the complement of an angle plus three-fourths of the summplement of the angle equals 110 degrees, find the measure of the angle. This question is from textbook

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the measure of the required angle be x.
One half the complement of x is and three fourths of the supplement of x is The sum of thease is 110 degrees, so...
Simplify and solve for x. Multiply through by 4 to clear the fractions.
Expand.
Combine like-terms.
Subtract 720 from both sides.
Divide both sides by -5.
degrees.
Check:
= OK!

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