Chapter 12.2, Problem 24PPS

To determine

Calculate the angle with a positive measure and with a negative measure that are co-terminal with each angle.

Answer to Problem 24PPS

The positive and negative angle will be ${165}^{\circ }$ & $-{555}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the given angle is $-{195}^{\circ }$ .

Concept Used:

In this, use the concept of angles and it has to be known that a co − terminal angle will be ${360}^{\circ }$ .

Calculation: Here, the angle will be $-{195}^{\circ }$ .

Now, add ${360}^{\circ }$ to the angle to get positive angle,

  $-{195}^{\circ }+{360}^{\circ }={165}^{\circ }$

Now, subtract ${360}^{\circ }$ to the angle to get negative angle,

  $-{195}^{\circ }-{360}^{\circ }=-{555}^{\circ }$

Conclusion:

The positive and negative angle will be ${165}^{\circ }$ & $-{555}^{\circ }$ .