Question

draw the angle in standard position. state the quadrant in which the angle lies.

• 300°

choose the correct graph below.
a.
graph of a circle with x and y axes, a blue line in a position
b.
graph of a circle with x and y axes, a blue line in a position
c.
graph of a circle with x and y axes, a blue line in a position
d.
graph of a circle with x and y axes, a blue line in a position

Explanation:

Step1: Convert negative angle to positive

To find the coterminal positive angle, add $360^\circ$:
$-300^\circ + 360^\circ = 60^\circ$

Step2: Identify quadrant of positive angle

Angles between $0^\circ$ and $90^\circ$ lie in Quadrant I, so $60^\circ$ (and $-300^\circ$) is in Quadrant I.

Step3: Match to correct graph

A $60^\circ$ angle (equivalent to $-300^\circ$) opens counterclockwise from the positive x-axis into Quadrant I, which matches option B.

Answer:

B. <Graph with terminal side in Quadrant I, 60° from positive x-axis>
The angle $-300^\circ$ lies in Quadrant I.