document.write( "Question 211837: One angle of a triangle is 3 less than twice another. The other is 4X the sum of the small angle and 2. What are the angle measurements?? \n" ); document.write( "
Algebra.Com's Answer #160052 by tutor_paul(519)\"\" \"About 
You can put this solution on YOUR website!
Let the 3 angles of the triangle be A,B,C.
\n" ); document.write( "You know that since it is a triangle, you can write:\r
\n" ); document.write( "\n" ); document.write( "Equation #1: \"A%2BB%2BC=180\"
\n" ); document.write( "You are given the following information:
\n" ); document.write( "Equation #2: \"A=3B-3\"
\n" ); document.write( "Equation #3: \"C=4%28A%2B2%29\"
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\n" ); document.write( "You have 3 equations and 3 unknowns. Anytime you have at least as many equations as unknowns, you can solve the problem!
\n" ); document.write( "Substitute the expression for C from Equation #3 into Equation #1:
\n" ); document.write( "\"A%2BB%2B4A%2B8=180\"
\n" ); document.write( "Solve for B in terms of A:
\n" ); document.write( "\"5A%2BB=172\"
\n" ); document.write( "Equation #4: \"B=172-5A\"
\n" ); document.write( "Substitute Equation #4 into Equation #2:
\n" ); document.write( "\"A=3%28172-5A%29-3\"
\n" ); document.write( "Solve for A:
\n" ); document.write( "\"A=516-15A-3\"
\n" ); document.write( "\"16A=513\"
\n" ); document.write( "\"highlight%28A=32.0625%29\"
\n" ); document.write( "Plug this value for A into Equation #2 and solve for B:
\n" ); document.write( "\"32.062=3B-3\"
\n" ); document.write( "\"3B=35.062\"
\n" ); document.write( "\"highlight%28B=11.6875%29\"
\n" ); document.write( "Plug the value for A into Equation #3 and solve for C:
\n" ); document.write( "\"C=4%2832.0625%2B2%29\"
\n" ); document.write( "\"highlight%28C=136.25%29\"
\n" ); document.write( "Plug these values for A, B, and C into Equation #1 and make sure it still holds true. I will leave that part to you.
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\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com
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