<PRE><B>Question 125887</B>
 - Obtuse angles are those angles which measure greater than 90 degrees but less than 180 degrees.  Therefore our answer should fall between 90 and 180.
- Supplementary angles are two or more angles whose sum is 180 degrees.

Let X = Supplement to the angle we are looking for 
Let 3x - 24 = The angle we are looking for (24 less than 3 times the measure of its supplement)


Solve:

1. Set up the equation: 
   x + (3x - 24) = 180
2. Combine the x terms:
   4x - 24 = 180
3. Add 24 to both sides
   4x = 204
4. Divide both sides by 4 
   x = 51
5. Substite:
   3(51) - 24 = 153 - 24 = 129 degrees

Since our result is greater than 90 and less 180 it qualifies as an obtuse angle.

Note: You could also have subtracted 51 from 180 and achieved the same result.
180 - 51 = 129

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