Chapter 12.2, Problem 5CYU

To determine

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

Answer to Problem 5CYU

The positive and negative angle will be ${535}^{\circ }$ & $-{185}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the given angle is ${175}^{\circ }$ .

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 ${175}^{\circ }$ .

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

  ${175}^{\circ }+{360}^{\circ }={535}^{\circ }$

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

  ${175}^{\circ }-{360}^{\circ }=-{185}^{\circ }$

Conclusion:

The positive and negative angle will be ${535}^{\circ }$ & $-{185}^{\circ }$ .