document.write( "Question 862621: please help me in finding the Internal angles of a Triangle when the external angle is given as 75 \n" ); document.write( "
Algebra.Com's Answer #519777 by rothauserc(4718) You can put this solution on YOUR website! we have two equations, let x, y, z be the internal angles of the triangle and w be the external angle with z, then we have \n" ); document.write( "x + y + z = 180 \n" ); document.write( "w + z = 180 \n" ); document.write( "solve second equation for z \n" ); document.write( "z = 180 - w \n" ); document.write( "now substitute for z in first equation \n" ); document.write( "x + y + (180 - w) = 180 \n" ); document.write( "x + y - w = 0 \n" ); document.write( "w = x + y \n" ); document.write( "we know w = 75 degrees and \n" ); document.write( "z + 75 = 180 \n" ); document.write( "z = 105 and x+y = 75\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |