document.write( "Question 571744: Hi I'm doing systems of linear equations & problem solving in math 103. Solving applications of three equations.\r
\n" ); document.write( "\n" ); document.write( "Geometry. In triangles ABC, the measures of angle B is three times that of angle A. The measure of angle C is 20 degrees more than that of angle A. Find the angle measures\r
\n" ); document.write( "\n" ); document.write( "I have such a hard time with word problems and finding the right equations. I would apprexiate some help. \r
\n" ); document.write( "\n" ); document.write( "So far this is what I understand. I don't know if I'm correct. A+B+C=180
\n" ); document.write( "B=3A
\n" ); document.write( "C=A(.20)
\n" ); document.write( "

Algebra.Com's Answer #368192 by KMST(5328)\"\" \"About 
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I agree with A+B+C=180 and B=3A
\n" ); document.write( "However the translation for \"The measure of angle C is 20 degrees more than that of angle A\" is C=A+20
\n" ); document.write( "You get the system of equations
\n" ); document.write( "\"system%28A%2BB%2BC=180%2C+B=3A%2C+C=A%2B20%29\"
\n" ); document.write( "Substituting the expressions for B and C from the second and third equations into the first equation, you get
\n" ); document.write( "\"A%2B3A%2B%28A%2B20%29=180\"--> \"A%2B3A%2BA%2B20=180\" --> \"5A%2B20=180\" --> \"5A=160\" --> \"A=32\"
\n" ); document.write( "Now you can substitute the value found for A in the last two equations to find B and C
\n" ); document.write( "\"B=3%2A32\" --> \"B=96\"
\n" ); document.write( "\"C=32%2B20\" --> \"C=52\"
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