document.write( "Question 421800: The sum of the angles of a triangle is 180 degrees. If one angle of a triangle is ten degrees larger than the smallest angle and the third angle is 10 degrees more than twice the smallest angle, find the measures of the three angles? Please I need this in detail, step by step. :) \n" ); document.write( "
Algebra.Com's Answer #294469 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The sum of the angles of a triangle is 180 degrees. If one angle of a triangle is ten degrees larger than the smallest angle and the third angle is 10 degrees more than twice the smallest angle, find the measures of the three angles? \n" ); document.write( "----- \n" ); document.write( "Equations: \n" ); document.write( "a + b + c = 180 \n" ); document.write( "b = a+10 \n" ); document.write( "c = 2a+10 \n" ); document.write( "---- \n" ); document.write( "Subtitute for \"b\" and for \"c\" and solve for \"a\": \n" ); document.write( "a + (a+10) + (2a+10) = 180 \n" ); document.write( "4a = 160 \n" ); document.write( "a = 40 \n" ); document.write( "---- \n" ); document.write( "b = a+10 = 50 \n" ); document.write( "c = 2a+10 = 90 \n" ); document.write( "===================== \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |