document.write( "Question 556170: calculate the largest angle of a triangle in which one angle is eight times each other
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #362062 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
sum of the angles of a triangle equals 180.
\n" ); document.write( "a = angle a
\n" ); document.write( "b = angle b
\n" ); document.write( "c = angle c
\n" ); document.write( "a + b + c = 180
\n" ); document.write( "a = 8b
\n" ); document.write( "a = 8c
\n" ); document.write( "this leads to:
\n" ); document.write( "8b + b + c = 180
\n" ); document.write( "8c + b + c = 180
\n" ); document.write( "simplify these equations to get:
\n" ); document.write( "9b + c = 180
\n" ); document.write( "b + 9c = 180
\n" ); document.write( "multiply the second equation by 9 to get:
\n" ); document.write( "9b + c = 180
\n" ); document.write( "9b + 81c = 1620
\n" ); document.write( "subtract the first equation from the second equation to get:
\n" ); document.write( "80c = 1440
\n" ); document.write( "divide both sides of this equation by 80 to get:
\n" ); document.write( "c = 18
\n" ); document.write( "since a = 8c, this means that a = 144.
\n" ); document.write( "since a = 8b, this means that b = a/8 which means that b = 18.
\n" ); document.write( "the angles of this triangle are:
\n" ); document.write( "a = 144
\n" ); document.write( "b = 18
\n" ); document.write( "c = 18
\n" ); document.write( "sum of the angles is 180
\n" ); document.write( "a is 8 times b and a is also 8 times c.
\n" ); document.write( "your answer is that the largest angle is 144 degrees.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );