Answer: The correct option is (A) Quadrant I.
Step-by-step explanation: Given that an angle whose measure is 405° is in standard position.
We are to select the quadrant in which the terminal side of the angle fall.
We know that each quadrant covers an angle of 90°, and there are four quadrants in two-dimensional plane.
So, a whole angle is equal to the sum of the angles covered by the four quadrants.
That is, a whole angle is equal to
90° + 90° + 90° + 90°
=360°.
We have
405° - 360° = 45°.
Since the terminal sides of angles measuring from 0° to 90° lies in the first quadrant.
So, the terminal side of the angle having measure 45° will also lie in the Quadrant I, because
0° < 45° < 90°.
Thus, (A) is the correct option.
