Question

What does it mean to have a negative angle?

Answer 1

Hint: Here in this question we have been asked to define the meaning of a negative angle for answering this question. We will define both negative and positive angles and describe some of the examples and then discuss the differences between them.

Complete step by step solution:
Now considering the question we have been asked to define the meaning of a negative angle.
From the basic concepts of angles we know that we generally measure an angle in anti-clockwise direction that is positive side of $x$ axis and this direction is known as positive direction of angle measurement and the angle measured in this way is known as the positive angle similarly we know that we generally measure an angle in clockwise direction that is negative side of $x$ axis and this direction is known as negative direction of angle measurement and the angle measured in this way is known as the negative angle.

Here in this picture we can see that when angle is measured from positive axis its value is ${{45}^{\circ }}$ and when measured from negative axis we have ${{135}^{\circ }}$ .
Therefore we can conclude that the main difference between positive angle and negative angle is in the direction of measurement.

Note: This is a purely concept based question and it can be answered accurately, easily and directly by applying the concepts in the process of answering this type of question. We know that an angle has two points: terminal and initial when the angle is measured from the terminal side it is negative and when it is measured from the initial side it is positive.