Answer: The answer is the first quadrant.
Step-by-step explanation: Given that an angle with measurement 40° is in the standard position. We are to find the quadrant in which the terminal side of the angle fall.
The first quadrant contains angles with measurement greater than 0° and less than 90°.
The second quadrant contains angles with measurement greater than 90° and less than 180°.
The third quadrant contains angles with measurement greater than 180° and less than 270°.
The fourth quadrant contains angles with measurement greater than 270° and less than 360°.
Since the measurement of the given angle is 40° and 0° < 40° < 180°, so it will lie in the first quadrant and also its terminal side.
Thus, the answer is the first quadrant. This is also shown in the attached figure.