document.write( "Question 1092115: The sum of the angles in a triangle is always 180 degrees. In a particular triangle there the middle angle is six less than twice the smallest angle, and the largest angle is the sum of the smaller angles? \n" ); document.write( "

Algebra.Com's Answer #706648 by addingup(3677) $\"\"$ $\"About$

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Smallest angle: x
\n" ); document.write( "Middle angle - six less than twice the smallest angle: 2x-6
\n" ); document.write( "Largest angle = sum of smaller angles: x+2x-6
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\n" ); document.write( "Let's put it all together
\n" ); document.write( "Smallest angle + middle angle + largest angle = 180
\n" ); document.write( "Use the equivalent values above:
\n" ); document.write( "Smallest angle: x
\n" ); document.write( "Middle angle: 2x-6
\n" ); document.write( "Largest angle: x+2x-6
\n" ); document.write( "All together:
\n" ); document.write( "x+2x-6+x+2x-6 = 180
\n" ); document.write( "Group like terms:
\n" ); document.write( "x+2x+x+2x-6-6 = 180
\n" ); document.write( "Simplify:
\n" ); document.write( "6x-12 = 180
\n" ); document.write( "You can do it from here, it goes like this:
\n" ); document.write( "6x = 192
\n" ); document.write( "x = 32
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\n" ); document.write( "Check:
\n" ); document.write( "6x-12 = 180
\n" ); document.write( "6(32)-12 = 180
\n" ); document.write( "192-12 = 180 Correct.
\n" ); document.write( ":
\n" ); document.write( "Happy learning,
\n" ); document.write( "John
\n" ); document.write( " \n" ); document.write( "

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