Answer and Step-by-step explanation:
Let's denote the measure of the angle as x degrees.
According to the problem, the supplement of the angle is 60 degrees more than twice the measure of the angle.
The supplement of an angle is the angle that, when added to the given angle, results in a straight line (180 degrees).
So, we can set up the equation:
x + (2x + 60) = 180
Simplifying the equation:
3x + 60 = 180
Subtracting 60 from both sides:
3x = 120
Dividing both sides by 3:
x = 40
Therefore, the measure of the angle is 40 degrees.
To find the measure of the supplement, we substitute the value of x back into the equation:
2x + 60 = 2(40) + 60 = 80 + 60 = 140
Hence, the measure of the supplement of the angle is 140 degrees.