document.write( "Question 628144: in pentagon MTLYN m angle m=90 and M angle T=150 m angle Y and m angle N are each twice as large as m angle L find the measures of angle L angle Y and angle N \n" ); document.write( "
Algebra.Com's Answer #395419 by dfrazzetto(283)![]() ![]() You can put this solution on YOUR website! Sum of interior angles (in degrees) of a polygon:\r \n" ); document.write( "\n" ); document.write( "n = sides\r \n" ); document.write( "\n" ); document.write( "Σ(sum) = (n-2)180 = 3(180) = 540\r \n" ); document.write( "\n" ); document.write( "M = 90\r \n" ); document.write( "\n" ); document.write( "T = 150\r \n" ); document.write( "\n" ); document.write( "Y = N = 2L\r \n" ); document.write( "\n" ); document.write( "M + T + Y + N + L = 540\r \n" ); document.write( "\n" ); document.write( "90 + 150 + 2L + 2L + L = 540\r \n" ); document.write( "\n" ); document.write( "5L = 540 - 90 - 150\r \n" ); document.write( "\n" ); document.write( "5L = 300\r \n" ); document.write( "\n" ); document.write( "L = 60\r \n" ); document.write( "\n" ); document.write( "Y = N = 2L = 120\r \n" ); document.write( "\n" ); document.write( "Check:\r \n" ); document.write( "\n" ); document.write( "90 + 150 + 120 + 120 + 60 = 540 \n" ); document.write( " |