document.write( "Question 1056775: One angle of a triangle is three times as large as another. The measure of the third angle is 70° more than that of the smallest angle. Find the measure of each angle.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #671896 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "One angle of a triangle is three times as large as another. The measure of the third angle is 70° more than that of the smallest angle. \n" ); document.write( "Find the measure of each angle. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the measure of the smallest angle (in degrees).\r\n" ); document.write( "\r\n" ); document.write( "Then the other angle measure is 3x.\r\n" ); document.write( "\r\n" ); document.write( "The third angle measure is x + 70 degrees.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The equation is \r\n" ); document.write( "\r\n" ); document.write( "x + 3x + (x+70) = 180.\r\n" ); document.write( "\r\n" ); document.write( "5x = 180 - 70,\r\n" ); document.write( "\r\n" ); document.write( "5x = 110,\r\n" ); document.write( "\r\n" ); document.write( "x = 22.\r\n" ); document.write( "\r\n" ); document.write( "The smallest angle is 22 degs.\r\n" ); document.write( "\r\n" ); document.write( "Please complete the solution from this point on your own.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "For many other similar solved problems see the lessons\r \n" ); document.write( "\n" ); document.write( " - Solved problems on supplementary and complementary angles\r \n" ); document.write( "\n" ); document.write( " - Solved problems on angles of a triangle\r \n" ); document.write( "\n" ); document.write( " - Solved problems on angles of a parallelogram\r \n" ); document.write( "\n" ); document.write( " - Solved problems on angles of a quadrilateral\r \n" ); document.write( "\n" ); document.write( " - Solved problems on angles of a polygon\r \n" ); document.write( "\n" ); document.write( " - Solved problems on missed angle of a polygon\r \n" ); document.write( "\n" ); document.write( " - Solved problems on angles of a regular polygon\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |