document.write( "Question 326005: My question is: Find the measures of two complementary angles such that the larger angle is twice that of the smaller angle.
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Algebra.Com's Answer #233361 by jessica43(140) $\"\"$ $\"About$

You can put this solution on YOUR website!
To solve this problem, you are going to have to write two equations using what you know.
\n" ); document.write( "First, you know that you have two complementary angles. This means that together the angles add up to 90 degrees. So:
\n" ); document.write( "A + B = 90 (where A = measure of the larger angle, B = measure of the smaller angle)
\n" ); document.write( "Second, you know that the larger angle (A) is twice that of the smaller angle (B):
\n" ); document.write( "A = 2B
\n" ); document.write( "Now you can plug in the second equation into the first and solve for B:
\n" ); document.write( "A + B = 90
\n" ); document.write( "(2B) + B = 90
\n" ); document.write( "3B = 90
\n" ); document.write( "B = 30
\n" ); document.write( "Finally, plug this value into the first equation to find A:
\n" ); document.write( "A + B = 90
\n" ); document.write( "A + 30 = 90
\n" ); document.write( "A = 60
\n" ); document.write( "So angle A is 60 degrees and angle B is 30 degrees. \n" ); document.write( "

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