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Question 911249: One angle of two complementary angles is 18 degrees more than the twice the sum of other angle and 5 degrees. Find the measures of the two angles.
Answer by ichigo449(30)   (Show Source):
You can put this solution on YOUR website! Let x be the first angle and y the second. Since are angles are complementary, x+y must equal 90. Now, the condition given in the problem is, in equations: x = 2(y+5)+18. These two conditions form a linear system whose solution is standard, and has to be somewhere in your book (As a sidenote, understand why this solution works rather than remembering steps as its ideas are crucial to later mathematics): Take the equation for x and substitute it into the complementary angle equation. Explicitly, 2(y+5)+18 + y = 90. Now, this is just a linear equation which simplifies to: 3y+28 = 90, so y = 20.66r (r means immediately preceding numbers until a decimal point repeat indefinitely). Now, given y finding x is just 90-20.66r, which = 69.33r.
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