document.write( "Question 998627: The sum of the measures of the angles in a triangle in a triangle is 180 degrees angle x is equal in measure to angle y angle z is 46 degrees less than angle y find the measure of each angle \n" ); document.write( "
Algebra.Com's Answer #616393 by addingup(3677)\"\" \"About 
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x+y+z= 180 This is the formula we will use.
\n" ); document.write( "x = y
\n" ); document.write( "or
\n" ); document.write( "y= x, in an equality it makes no difference We will use 2y to include both angles
\n" ); document.write( "and
\n" ); document.write( "z= y-46
\n" ); document.write( "Back to the formula above:
\n" ); document.write( "x+y+z= 180
\n" ); document.write( "2y+y-46= 180
\n" ); document.write( "3y= 180+46
\n" ); document.write( "3y= 226
\n" ); document.write( "y= 75.33
\n" ); document.write( "Proof:
\n" ); document.write( "x+y+z= 180
\n" ); document.write( "75.33+75.33+(75.33-46)= 180
\n" ); document.write( "150.66+29.33= 180
\n" ); document.write( "180= 180 We have the correct answer
\n" ); document.write( "note: I get 179.99 but it's because of the rounding of the decimals. If we do it with fractions we get exactly 180:
\n" ); document.write( "75 1/3+75 1/3+29 1/3= 180
\n" ); document.write( "150 2/3+ 29 1/3= 180
\n" ); document.write( "180= 180
\n" ); document.write( "Good luck.
\n" ); document.write( "J \n" ); document.write( "
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