Answer:
the angle measures 59.9°, and its supplementary angle measures 180° - 59.9° = 120.1°.
Explanation:
Let x be the measure of the angle we are trying to find.
By definition of supplementary angles, we know that the angle's supplementary angle measures 180° - x.
We are also given that the angle measures 120.2° less than its supplementary angle. This can be written as:
x = (180° - x) - 120.2°
Simplifying the equation, we get:
x = 59.9°
Therefore, the angle measures 59.9°, and its supplementary angle measures 180° - 59.9° = 120.1°.