SOLUTION: Set up a system of linear equations in two variables to solve for the unknown quantities. Two angles are complementary. The measure of one angle is 10� less than nine times th

Question 911731: Set up a system of linear equations in two variables to solve for the unknown quantities.

Two angles are complementary. The measure of one angle is 10� less than nine times the measure of the other. Find the measure of each angle.
Answer by ichigo449(30) (Show Source): You can put this solution on YOUR website!
Let x be the first angle and y the second. The complementary condition is the equation: x+y = 90, and the second condition is: x = 9y-10. Since x is already solved for in terms of y we will proceed with substitution using it. Explicitly, 9y-10 +y = 90, which simplifies to, 10y-10 = 90 or y = 10. Now we use the first equation to find x: x = 90-10 = 80. (Note: As a general rule for writing solutions, and later proofs, define all used variables as needed before they appear in equations, briefly summarize complicated steps before carrying them out and show all algebraic manipulations crucial to understanding your solution.) Have a nice day and good luck with your class.
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