document.write( "Question 29576: You are all so helpful, did not think I'd be back so soon. However I'm stuck on this one. The story problems always get me.\r
\n" ); document.write( "\n" ); document.write( "In triangle ABC, the measure of angle B is 2 times the measure of angle A. the measure of angle C is five degrees less than angle B. Find the measure of each angle.\r
\n" ); document.write( "\n" ); document.write( "All I could get was B=2A, C=B-5degrees. Do not know where to go from there, not sure how to write the equation to find B. Help Please \n" ); document.write( "
Algebra.Com's Answer #16322 by sdmmadam@yahoo.com(530)\"\" \"About 
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In triangle ABC, the measure of angle B is 2 times the measure of angle A. the measure of angle C is five degrees less than angle B. Find the measure of each angle.\r
\n" ); document.write( "\n" ); document.write( "All I could get was B=2A, C=B-5degrees. Do not know where to go from there, not sure how to write the equation to find B.
\n" ); document.write( "Both your equations:
\n" ); document.write( "B=2A ----(1) C=B-5 ----(2)
\n" ); document.write( "are very correct. Your thought process is fine. Congratulations.
\n" ); document.write( "What at the moment you have temporarily forgotten is the fact that the three angles of a triangle always add up to 180 degrees no matter who does the problem on a triangle or which part of the globe the person resides!
\n" ); document.write( "Just observe your two equations that you have got
\n" ); document.write( "(1) gives meaning for B in terms of A
\n" ); document.write( "And (2) gives meaning for C interms of B.But we know B in terms of A.
\n" ); document.write( "So we can give C also in terms of A.
\n" ); document.write( "How?
\n" ); document.write( "We substitute for B in (2)
\n" ); document.write( "C= B - 5
\n" ); document.write( "C= (2A)-5 ----(3)
\n" ); document.write( "So the whole thing is like this.
\n" ); document.write( "A is A itself, B= 2A----(1) and C=2A-5----(3)
\n" ); document.write( "Therefore A+B+C= 180 degrees becomes
\n" ); document.write( "A+(2A)+(2A-5) = 180
\n" ); document.write( "(A+2a+2A)-5 = 180
\n" ); document.write( "5A-5 =180
\n" ); document.write( "Dividing by 5
\n" ); document.write( "A-1= 36
\n" ); document.write( "A = 36+1 = 37
\n" ); document.write( "B= 2A = 2X37 = 74
\n" ); document.write( "C=(2A-5) =74-5 = 69
\n" ); document.write( "Answer: A=37 degrees,B=74 degrees and C= 69 degrees
\n" ); document.write( "Verification: The three angles should add up to 180 degrees and of course
\n" ); document.write( "37+74+69 = 180 and hence our angles are correct.\r
\n" ); document.write( "\n" ); document.write( "HOW MUCH TO WRITE IN THE TEST?
\n" ); document.write( "In triangle ABC, the measure of angle B is 2 times the measure of angle A. the measure of angle C is five degrees less than angle B. Find the measure of each angle.
\n" ); document.write( "Given B=2A ----(1) C=B-5 ----(2)
\n" ); document.write( "We have in triangle ABC,
\n" ); document.write( "A+B+C= 180 degrees ----(*)
\n" ); document.write( "Putting (1) in (2),
\n" ); document.write( "C=(2A)-5 ----(3)
\n" ); document.write( "Using (1) and (3) in (*)
\n" ); document.write( "A+(2A)+(2A-5) = 180
\n" ); document.write( "5A = 180+5
\n" ); document.write( "5A=185
\n" ); document.write( "A = 185/5 =37
\n" ); document.write( "A=37 in (1).
\n" ); document.write( "B=2A=2X37 =74
\n" ); document.write( "B=74 i (2)
\n" ); document.write( "C= B-5 = 74-5 = 69
\n" ); document.write( "Answer: A=37 degrees,B=74 degrees and C= 69 degrees
\n" ); document.write( "Verification: The three angles should add up to 180 degrees and of course
\n" ); document.write( "37+74+69 = 180 and hence our angles are correct.\r
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