document.write( "Question 590897: Could you please help me solve this question?
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document.write( "- Two angles are complementary.† The sum of the measures of the first angle and half the second angle is 64°. Find the measures of the angles.\r
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document.write( "I've been stuck on this for about a half hour. I'm not sure if I need to make a linear equation to solve to be able to figure out the angles, or what I need to do. Please help! \n" );
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Algebra.Com's Answer #375351 by Earlsdon(6294) ![]() You can put this solution on YOUR website! Let the two angles be A and B, then: \n" ); document.write( "1) A+B = 90 degrees. \"Two angles are complementary.\" \n" ); document.write( "2) A+B/2 = 64 degrees. \"The sum of the measures of the first angle and half the second angle is 64 degrees. \n" ); document.write( "Multiply equation 2) by 2 to get: \n" ); document.write( "2a) 2A+B = 128 Subtract 2A from both sides. \n" ); document.write( "2b) B = 128-2A and substitute this into equation 1) for B. \n" ); document.write( "1a) A+(128-2A) = 90 Simplify and solve for A. \n" ); document.write( "1b) 128-A = 90 Subtract 128 from both sides. \n" ); document.write( "2c) -A = -38 Multiply both sides by -1. \n" ); document.write( "2d) A = 38 degrees and B = 90-38 = 52 degrees. \n" ); document.write( " |