document.write( "Question 345899: The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 are two form a linear pair, what are their measures. \n" ); document.write( "
Algebra.Com's Answer #248077 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! A linear pair of angles is formed when two lines intersect. Two angles are said \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to be linear if they are adjacent angles formed by two intersecting lines. The \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "measure of a straight angle is 180 degrees, so a linear pair of angles must add \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "up to 180 degrees. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let A = first angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let B = second angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then A + B = 180 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 4B - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Replace A in A + B = 180 with 4B - 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4B - 5 + B = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5B - 5 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5B = 180 + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5B = 185\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = 185/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = 37 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find angle A, we go back to A + B = 180 and replace B with 37.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A + B = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A + 37 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 180 - 37\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 143 degress\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Angle A = 143 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Angle B = 37 degrees\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |