document.write( "Question 242810: The measure of angle A is three times the measure of angle B, and the measure of angle B is three times the measure for angle C. If angle A.and angle C.are complementary, find the measure of angle B. \n" ); document.write( "
Algebra.Com's Answer #177780 by oberobic(2304)\"\" \"About 
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We are told several things needed for the setup for the solution.
\n" ); document.write( "A = 3 times B
\n" ); document.write( "A = 3B
\n" ); document.write( "B = 3 times C
\n" ); document.write( "B = 3C
\n" ); document.write( "Therefore, A = 9C
\n" ); document.write( "A + C = 90 degrees because they are complementary.
\n" ); document.write( "Substituting for A = 9C
\n" ); document.write( "9C + C = 90
\n" ); document.write( "10C = 90
\n" ); document.write( "Dividing by 10
\n" ); document.write( "C = 9
\n" ); document.write( "Substituting
\n" ); document.write( "A = 9C = 9(9) = 81
\n" ); document.write( "But what is the question?
\n" ); document.write( "What is B?
\n" ); document.write( "B = 3C
\n" ); document.write( "C = 9
\n" ); document.write( "B = 27
\n" ); document.write( "Checking our work.
\n" ); document.write( "A = 3B = 3(27)??
\n" ); document.write( "Yes, 3*27 = 81= A.
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