document.write( "Question 212865: The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is four times the smallest angle and the third angle is 24° greater than the smallest angle. \n" ); document.write( "
Algebra.Com's Answer #160789 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of the angles of a triangle is 180°. \n" ); document.write( " Find the three angles of the triangle if one angle is four times the smallest \n" ); document.write( " angle and the third angle is 24° greater than the smallest angle. \n" ); document.write( "; \n" ); document.write( "Let x = the smallest angle \n" ); document.write( "then \n" ); document.write( "4x = the largest angle \n" ); document.write( "and \n" ); document.write( "(x+24) = the third angle \n" ); document.write( ": \n" ); document.write( "x + 4x + (x+24) = 180 \n" ); document.write( "6x = 180 - 24 \n" ); document.write( "6x = 156 \n" ); document.write( "x = \n" ); document.write( "x = 26 deg is the smallest angle \n" ); document.write( "and \n" ); document.write( "4(26) = 104 deg is the largest \n" ); document.write( "and \n" ); document.write( "26 + 24 = 50 deg is the third angle \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution: \n" ); document.write( "26 + 104 + 50 = 180 \n" ); document.write( " |