Chapter 4, Problem 1RE

To determine

Whether the given statement is true or false.

Answer to Problem 1RE

The given statement is false.

Explanation of Solution

Definition:

Third quadrant angle:

“An angle is called third quadrant angle, if the angle lies in third quadrant.”

Interpretation:

The given statement is “A standard position angle $205°$ is a second quadrant angle.”

The measure of an angle $205°$ lies between $180°\text{ and }270°$ with standard position. So, it lies in third quadrant.

Hence, by definition of the measure of angle $205°$ is third quadrant angle.

Thus, the given statement is false.