document.write( "Question 1066994: The measure of one angle of a triangle is 20 degrees more than measure of the smallest angle. the measure of another angle is 8 degrees less than twice the measure of the smallest angle. What is the measure of each angle? \n" ); document.write( "

Algebra.Com's Answer #732110 by Shin123(626) $\"\"$ $\"About$

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Assume the smallest angle is z and the other angles are x and y. So \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B20=z\"$ (z is not the smallest angle because x is the smallest [x+20=z proves it]) and $\"2z-8=y\"$ And all angles in a triangle must total 180 degrees. So \r
\n" ); document.write( "\n" ); document.write( " $\"x%2By%2Bz=180\"$ $\"2z%2By=200\"$ $\"y%2By=192\"$ $\"2y=192\"$ $\"y=96\"$ $\"2z-8=y\"$ $\"2z-8=96\"$ $\"2z=104\"$ $\"z=52\"$ $\"x%2B20=z\"$ $\"x%2B20=52\"$ $\"x=32\"$ Check: $\"x%2By%2Bz=180\"$ $\"32%2B96%2B52=180\"$ $\"180=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=32\"$ $\"degrees\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=96\"$ $\"degrees\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=52\"$ $\"degrees\"$ \n" ); document.write( "

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