document.write( "Question 201493This question is from textbook
\n" ); document.write( ": two angles are complementary. one angle is 12 degree larger than the other. using two variables x and y, find the size of each angle by solving a system of equations. \n" ); document.write( "
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two angles are complementary. one angle is 12 degree larger than the other. using two variables x and y, find the size of each angle by solving a system of equations.
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\n" ); document.write( "Two angles are complementary if the sum of the two angles equals 90 deg.
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\n" ); document.write( "Let x = one angle
\n" ); document.write( "and y = second angle
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\n" ); document.write( "equation 1:
\n" ); document.write( "x + y = 90
\n" ); document.write( "equation 2:
\n" ); document.write( "y = x+12
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\n" ); document.write( "Substitute the value of y from equation 2 into equation 1 and solve for x:
\n" ); document.write( "x + y = 90
\n" ); document.write( "x + x+12 = 90
\n" ); document.write( "2x + 12 = 90
\n" ); document.write( "2x = 78
\n" ); document.write( "x = 39 degrees
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\n" ); document.write( "Substitute the above into equation 2 and solve for y:
\n" ); document.write( "y = x+12
\n" ); document.write( "y = 39+12
\n" ); document.write( "y = 51 degrees
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\n" ); document.write( "Angles are 39 and 51 degrees.
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