Chapter 12.2, Problem 22PPS

To determine

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

Answer to Problem 22PPS

The positive and negative angle will be ${565}^{\circ }$ & $-{155}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the given angle is ${205}^{\circ }$ .

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 ${205}^{\circ }$ .

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

  ${205}^{\circ }+{360}^{\circ }={565}^{\circ }$

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

  ${205}^{\circ }-{360}^{\circ }=-{155}^{\circ }$

Conclusion:

The positive and negative angle will be ${565}^{\circ }$ & $-{155}^{\circ }$ .