document.write( "Question 14470: Two angles are supplementary. The measure of the second angle is 45 degrees less than two times the measure of the first angle. Find the measure of each angle.\r
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document.write( "Please show me the formula and the steps to answer it correctly\r
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document.write( "pewe@quixnet.net \n" );
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Algebra.Com's Answer #7244 by Starz(4) ![]() You can put this solution on YOUR website! alright....you can use a equation to solve this question.\r \n" ); document.write( "\n" ); document.write( "Since we know that the two angles are supplementary, they must equal 180 degrees. \r \n" ); document.write( "\n" ); document.write( "Let x represent the first angle.\r \n" ); document.write( "\n" ); document.write( "The second angle is 45 degrees less than two times the measure of the first angle....so.....the second angle is 2x-45\r \n" ); document.write( "\n" ); document.write( "If you put the equation together you will get x+2x-45=180\r \n" ); document.write( "\n" ); document.write( "Now, let's solve:\r \n" ); document.write( "\n" ); document.write( "x+2x-45=180 \n" ); document.write( "x+2x=180+45 \n" ); document.write( "3x=225 \n" ); document.write( "x=225 divided by 3 \n" ); document.write( "x=75\r \n" ); document.write( "\n" ); document.write( "Now that you have the degrees of the first angles, you can find out the degrees of the second angle.\r \n" ); document.write( "\n" ); document.write( "second angle=2x-45 \n" ); document.write( " =2 multiplied by 75-45 \n" ); document.write( " =150-45 \n" ); document.write( " =105\r \n" ); document.write( "\n" ); document.write( "Therefore, the first angle is 75 degrees and the second angle is 105 degrees.\r \n" ); document.write( "\n" ); document.write( "(let's check it to be sure) \n" ); document.write( "75+105=180....yay!!!!! \n" ); document.write( " |