Question 16768
The unknown angle is x degrees. Its supplement is (180 - x) degrees.  24 degrees less than that is [(180 - x) - 24].  The equation is:

x = [(180 - x) - 24] Simplify and solve for x.
x = 156 - x  Add x to both sides.
2x = 156 Divide both sides by 2.
x = 78 degrees.

You have the right equation in a slightly differnt form, so you would get the same answer of x = 78 degrees. Congratulations!

Check:

(180-78) - 24 = 180 - 102 = 78