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Answer:

An angle whose measure is 405° is in standard position. In what quadrant does the terminal side of the angle fall?

answer: Quadrant I

An angle whose measure is –405° is in standard position. In what quadrant does the terminal side of the angle fall?

answer: Quadrant IV

Step-by-step explanation:


The angle is negative and between 180 and 270 degrees, hence the angle will be in the third quadrant

Quadrants

  • Given the negative angle  –405°, we are to determine the quadrant it falls into.

  • First, we need to reduce the angles to bee between [tex]0 < \theta < 360^0[/tex]

Subtract 360 from the angle

[tex]\theta = -405 + 180\\ \theta = -225^0 [/tex]

Since the angle is negative and between 180 and 270 degrees, hence the angle will be in the third quadrant

Learn more on quadrant here: https://brainly.com/question/5844943