document.write( "Question 211837: One angle of a triangle is 3 less than twice another. The other is 4X the sum of the small angle and 2. What are the angle measurements?? \n" ); document.write( "
Algebra.Com's Answer #160082 by MathTherapy(10555)![]() ![]() You can put this solution on YOUR website! One angle of a triangle is 3 less than twice another. The other is 4X the sum of the small angle and 2. What are the angle measurements??\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the smallest angle be S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the middle angle is 3 less than twice the smallest, then middle angle = 2S - 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the largest angle is 4 times the sum of the smallest angle, and 2, then largest angle = 4(S + 2), or 4S + 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the angles of a triangle are supplementary, it follows that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S + 2S - 3 + 4S + 8 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7S + 5 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7S = 175\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Middle angle = 47 ------> [2(25) - 3]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Largest angle = 108 -----> [4(25 + 2)]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the smallest, middle, and largest angles are: \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |