<PRE><B>Question 23701</B>
Supplementary means that the angles add up to 180 degrees.
 (3a+10 ) + (2a-40) = 180
5a-30= 180


Add +30 to each side of the equation:
5a-30+30= 180 + 30
5a = 210
a = 42 degrees


Now find the two angles:
3a+10= 3*42 + 10 = 126 + 10 = 136 degrees
2a-40 = 2*42 -40 = 84 - 40 = 44 degrees


Check by adding the two angles and see if they add up to 180
136 + 44 = 180

It checks!  


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^2 at SCC</PRE>