document.write( "Question 325634: 1. 2 angles are supplementary. 1 angle is 5 more than 3 times the other. find the angles??
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Algebra.Com's Answer #233144 by jessica43(140) ![]() 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 supplementary angles. This means that together the angles add up to 180 degrees. So: \n" ); document.write( "A + B = 180 (where A = measure of angle one, B = measure of angle two) \n" ); document.write( "Second, you now that angle one is 5 more than 3 times angle two: \n" ); document.write( "A = 5 + 3B \n" ); document.write( "Now you can plug in the second equation into the first and solve for B: \n" ); document.write( "A + B = 180 \n" ); document.write( "(5 + 3B) + B = 180 \n" ); document.write( "5 + 4B = 180 \n" ); document.write( "4B = 175 \n" ); document.write( "B = 43.75 \n" ); document.write( "Finally, plug this value into the first equation to find A: \n" ); document.write( "A + B = 180 \n" ); document.write( "A + 43.75 = 180 \n" ); document.write( "A = 136.25 \n" ); document.write( "So angle A is 136.25 degrees and angle B is 43.75 degrees. \n" ); document.write( " |