Question

use the circle shown in the rectangular coordinate system to draw an angle of 420° in standard position. state the quadrant in which the angle lies. choose the figure below that shows an angle of 420° in standard position. when it is in standard position, the angle lies in

Explanation:

Step1: Find coterminal angle

Subtract 360° from 420° since angles that differ by a multiple of 360° are coterminal. $420 - 360=60^{\circ}$.

Step2: Determine quadrant

An angle of 60° in standard - position has its terminal side in the first quadrant.

Answer:

The angle of 420° in standard position lies in the first quadrant. (The figure that shows an angle of 60° counter - clockwise from the positive x - axis is the correct one for 420° as they are coterminal. Without seeing the actual figures, we can't choose from A, B, C, D, but conceptually, the terminal side of a 420° angle in standard position is in the first quadrant.)