document.write( "Question 23701: the measure of a pair of supplementary angles are represented by (3a + 10) and (2a - 40). Find the measure of the angle \n" ); document.write( "
Algebra.Com's Answer #12453 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Supplementary means that the angles add up to 180 degrees.
\n" ); document.write( " (3a+10 ) + (2a-40) = 180
\n" ); document.write( "5a-30= 180\r
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\n" ); document.write( "\n" ); document.write( "Add +30 to each side of the equation:
\n" ); document.write( "5a-30+30= 180 + 30
\n" ); document.write( "5a = 210
\n" ); document.write( "a = 42 degrees\r
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\n" ); document.write( "\n" ); document.write( "Now find the two angles:
\n" ); document.write( "3a+10= 3*42 + 10 = 126 + 10 = 136 degrees
\n" ); document.write( "2a-40 = 2*42 -40 = 84 - 40 = 44 degrees\r
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\n" ); document.write( "\n" ); document.write( "Check by adding the two angles and see if they add up to 180
\n" ); document.write( "136 + 44 = 180\r
\n" ); document.write( "\n" ); document.write( "It checks! \r
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\n" ); document.write( "\n" ); document.write( "NOTE: I have a confession to make--when I checked my work the first time, it did NOT check! Sure enough, I had an error to correct! These checks are really important to do whenever you are able to, especially if it is a test or international website!!!\r
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