document.write( "Question 554041: Two complementary angles have measures in the ratio
\n" ); document.write( "2:4. What is the measure of the larger angle? \n" ); document.write( "
Algebra.Com's Answer #361181 by Theo(13342)\"\" \"About 
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ratio of angle x to angle y is 2/4
\n" ); document.write( "this means that x/y = 2/4 which means that 4x = 2y which means that y = 4/2x = 2x.
\n" ); document.write( "we have y = 2x
\n" ); document.write( "if the angles are complementary, then their sum is 90 degrees.
\n" ); document.write( "this means that:
\n" ); document.write( "x + y = 90
\n" ); document.write( "since y = 2x, this means that:
\n" ); document.write( "x + 2x = 90 which means that:
\n" ); document.write( "3x = 90 which yields:
\n" ); document.write( "x = 30 degrees.
\n" ); document.write( "this makes y equal to 60 degrees.
\n" ); document.write( "you have:
\n" ); document.write( "x = 30
\n" ); document.write( "y = 60
\n" ); document.write( "y is the larger angle so the answer to the question is:
\n" ); document.write( "the larger angle equals 60 degrees.
\n" ); document.write( "our ratio becomes:
\n" ); document.write( "x/y = 2/4 = 30/60
\n" ); document.write( "since 2/4 is equivalent to 1/2 and 30/60 is equivalent to 1/2, all the ratios are the same so the answer is good.
\n" ); document.write( "x = 30 degrees
\n" ); document.write( "y = 60 degrees
\n" ); document.write( "ratio of x/y is 1/2 which is the same as 2/4.
\n" ); document.write( "larger angle is 60 degrees.
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