Question

An angle measures 168° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

The two angles are 6 degrees and 174 degrees.
Supplementary angles are two angles that add up to 180 degrees. So if we know that one angle is 168 more than the other we know that adding x (first angle) and x + 168 (second angle) will equal 180 degrees
x + (x+168) = 180
2x + 168 = 180
2x = 12
x = 6
The first angle is 6 degrees.
x + 168 (x is 6 as solved above)
6 +168 = 174
The second angle is 174 degrees
So the two angles are 6 degrees and 174 degrees.