document.write( "Question 211153: Two angles form a linear pair. The measure of one angle is 8 times the measure of the other angle. Find the measure of each angle. \n" ); document.write( "
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\n" ); document.write( "Let the measure of the smaller angle be x.
\n" ); document.write( "Then the measure of the larger angle is 8x.\r
\n" ); document.write( "\n" ); document.write( "As the two angles form a linear pair, their sum is 180 degrees.\r
\n" ); document.write( "\n" ); document.write( "So
\n" ); document.write( "x + 8x = 180\r
\n" ); document.write( "\n" ); document.write( "Solving for x, we have
\n" ); document.write( "9x = 180
\n" ); document.write( "x = 20
\n" ); document.write( "Thus the two angles are 20 and 160 degrees respectively.
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