document.write( "Question 56928: Okay here i go again with another written problem. Please help.\r
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document.write( "The measure of one angle of a triangle is twice the measure of a second angle. The measure of the third angle is 12 less than the sum of the other two. Find the measures of the angles of the triangle. \n" );
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Algebra.Com's Answer #38678 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let the second angle = x \n" ); document.write( ": \n" ); document.write( "The measure of one angle of a triangle is twice the measure of a second angle. \n" ); document.write( "This says: 1st angle = 2x \n" ); document.write( ": \n" ); document.write( " The measure of the third angle is 12 less than the sum of the other two. \n" ); document.write( "This says: 3rd angle = (x + 2x) - 12 = (3x-12) \n" ); document.write( ": \n" ); document.write( " Find the measures of the angles of the triangle. \n" ); document.write( ": \n" ); document.write( "2nd angle + 1st angle + 3rd angle = 180 (like all triangles) \n" ); document.write( "x + 2x + (3x - 12) = 180 \n" ); document.write( "6x = 180 + 12 \n" ); document.write( "x = 192/6 \n" ); document.write( "x = 32 degree is the 2nd angle \n" ); document.write( ": \n" ); document.write( "1st angle = 2(32) = 64 \n" ); document.write( ": \n" ); document.write( "3rd angle = 32 + 64 - 12 = 84 degrees \n" ); document.write( ": \n" ); document.write( "Check: 32 + 64 + 84 = 180\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |