document.write( "Question 264026: The sum of the
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document.write( "measure of the interior angles in a
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document.write( "triangle is 180°.The measure of the
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document.write( "second angle is 15° more than the
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document.write( "measure of the first angle.The measure
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document.write( "of the third angle is 45° more
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document.write( "than the measure of the first angle.
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document.write( "Find the measures of the interior angles in the
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document.write( "triangle. \n" );
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Algebra.Com's Answer #194467 by JBarnum(2146)![]() ![]() You can put this solution on YOUR website! The sum of the \n" ); document.write( "measure of the interior angles in a \n" ); document.write( "triangle is 180°.The measure of the \n" ); document.write( "second angle is 15° more than the \n" ); document.write( "measure of the first angle.The measure \n" ); document.write( "of the third angle is 45° more \n" ); document.write( "than the measure of the first angle. \n" ); document.write( "Find the measures of the interior angles in the \n" ); document.write( "triangle.\r \n" ); document.write( "\n" ); document.write( "ok take line by line and make up variables im going to do < A,B,C \n" ); document.write( "\"The sum of the measure of the interior angles in a triangle is 180°\" \n" ); document.write( "A+B+C=180 \n" ); document.write( "1st angle=A, 2nd angle=B, 3rd angle=C \n" ); document.write( "\"The measure of the second angle is 15° more than the measure of the first angle\" B=A+15 \n" ); document.write( "\"The measure of the third angle is 45° more than the measure of the first angle\" C=A+45 \n" ); document.write( "\"Find the measures of the interior angles in the triangle.\" Find A,B,C\r \n" ); document.write( "\n" ); document.write( "rewrite your equations \n" ); document.write( "A+B+C=180 B=A+15 C=A+45 \n" ); document.write( "since we know what B and C equal, I would suggest solving for A first. \n" ); document.write( "A+B+C=180 \n" ); document.write( "A+(A+15)+(A+45)=180 \n" ); document.write( "3A+60=180 \n" ); document.write( "3A=120 \n" ); document.write( "A=40 now plug into the other 2 equations \n" ); document.write( "B=(40)+15=55 \n" ); document.write( "C=(40)+45=85 \n" ); document.write( "So A=40 B=55 and C=85 \n" ); document.write( " \n" ); document.write( " |