SOLUTION: the measure of a pair of supplementary angles are represented by (3a + 10) and (2a - 40). Find the measure of the angle

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Question 23701: the measure of a pair of supplementary angles are represented by (3a + 10) and (2a - 40). Find the measure of the angle
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
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!!!

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