Chapter 12.2, Problem 19PPS

To determine

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

Answer to Problem 19PPS

The positive and negative angle will be ${410}^{\circ }$ & $-{310}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the given angle is ${50}^{\circ }$ .

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 ${50}^{\circ }$ .

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

  ${50}^{\circ }+{360}^{\circ }={410}^{\circ }$

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

  ${50}^{\circ }-{360}^{\circ }=-{310}^{\circ }$

Conclusion:

The positive and negative angle will be ${410}^{\circ }$ & $-{310}^{\circ }$ .