document.write( "Question 647697: two angles are complementary. one angle is ten less than three times the other angle. find the measure of both angles. \n" ); document.write( "
Algebra.Com's Answer #406338 by DrBeeee(684)\"\" \"About 
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Let a = one of the angles
\n" ); document.write( "Let b = the other angle
\n" ); document.write( "Since they are complementary angles we have
\n" ); document.write( "(1) a + b = 90
\n" ); document.write( "From the statement,\"one angle is 10 less than 3 times the other,\" we get
\n" ); document.write( "(2) a = 3*b - 10 (or you could use b=3a-10, it doesn't matter)
\n" ); document.write( "Substitute (2) into (1) and get
\n" ); document.write( "(3) 3*b - 10 + b = 90, or
\n" ); document.write( "(4) 4*b = 100, or
\n" ); document.write( "(5) b = 25
\n" ); document.write( "Then from (1) we get
\n" ); document.write( "(6) a = 65
\n" ); document.write( "Let's check these values using (2).
\n" ); document.write( "Is (65 = 3*25 - 10)?
\n" ); document.write( "Is (65 = 75 - 10)?
\n" ); document.write( "Is (65 = 65)? Yes
\n" ); document.write( "Answer: The angles are 65 degrees and 25 degrees. \n" ); document.write( "
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