The measure of an angle determines its size or magnitude. In mathematics, angles can have positive or negative measures.
An angle with a positive measure is one that is measured in a counterclockwise direction from the initial side to the terminal side. This means that as you move from the initial side to the terminal side, you are rotating in a counterclockwise direction.
For example, let's consider a standard coordinate system with the positive x-axis pointing to the right and the positive y-axis pointing upward. If you draw an angle in the first quadrant, such as 45 degrees, the measure of this angle is positive because it is formed by rotating counterclockwise from the positive x-axis to the terminal side.
Similarly, if you draw an angle in the second quadrant, such as 135 degrees, the measure of this angle is also positive because it is formed by rotating counterclockwise from the positive x-axis to the terminal side.
In summary, any angle that is measured by rotating counterclockwise from the initial side to the terminal side will have a positive measure.