Final answer:
An angle measures 50° more than the measure of its supplementary angle. However, there are no angles that satisfy this condition.
Step-by-step explanation:
An angle measures 50° more than the measure of its supplementary angle.
To solve for the measure of each angle, we can set up an equation:
Let x be the measure of the angle, and let y be its supplementary angle.
Since the sum of the measures of two supplementary angles is 180°, we can write the equation:
x = y + 50°
Substituting y + 50° for x in the equation, we get:
y + 50° = y
Subtracting y from both sides, we get:
50° = 0
Since there is no solution to this equation, it means that there are no angles that satisfy the given condition.