document.write( "Question 1115861: The smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.
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Algebra.Com's Answer #730695 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let x be the measure of the smallest angle.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the largest angle's measure is 9x, according to the condition,\r\n" ); document.write( "\r\n" ); document.write( "and the third angle is 2x.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Further, the sum of interior angles of each triangle is 180 degrees, which gives you an equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "x + 2x + 9x = 180 ====> 12x = 180 ====> x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |