document.write( "Question 298888: how do you solve if the second angle in a triangle is one third as large as the first angle and the third angle is two thirds as large as the first angle? \n" ); document.write( "

Algebra.Com's Answer #214928 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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how do you solve if the second angle in a triangle is one third as large as
\n" ); document.write( " the first angle and the third angle is two thirds as large as the first angle?
\n" ); document.write( ":
\n" ); document.write( "Let x = the 1st angle
\n" ); document.write( "then
\n" ); document.write( " $\"1%2F3\"$ x = 2nd angle
\n" ); document.write( "and
\n" ); document.write( " $\"2%2F3\"$ x = 3rd angle
\n" ); document.write( ":
\n" ); document.write( "the three angles of any triangle = 180 degree
\n" ); document.write( "therefore
\n" ); document.write( "x + $\"1%2F3\"$ x + $\"2%2F3\"$ x = 180
\n" ); document.write( "combine like terms
\n" ); document.write( "2x = 180
\n" ); document.write( "x = 90 degrees, is the 1st angle
\n" ); document.write( "then
\n" ); document.write( " $\"1%2F3\"$ *90 = 30 degrees is the 2nd angle
\n" ); document.write( "and, obviously:
\n" ); document.write( " $\"2%2F3\"$ *90 = 60 degrees is the 3rd angle \n" ); document.write( "

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