Given:
The angle
![-200^(\circ),490^(\circ)](https://img.qammunity.org/2023/formulas/mathematics/college/g6xyv69xx2yu6fo9w27j3zlr1ov3mlns9m.png)
To find:
A) Sketch the angle
B) Classify the angle
Step-by-step explanation:
Let us consider the angel -200 degrees.
Since the angle is negative.
A) The diagram will be,
B) The terminal ray lies in the II quadrant.
And its principal angle will be,
![360+(-200)=160^(\circ)](https://img.qammunity.org/2023/formulas/mathematics/college/f26c9zd77veyfu3mbd7qbshgwgei59mcre.png)
Next, consider the angle of 490 degrees,
The diagram is,
B) The terminal ray lies in II the quadrant.
The principal angle is,
![490-360=130^(\circ)](https://img.qammunity.org/2023/formulas/mathematics/college/y8obu3qaxfmlexrngmxe9h1s79h5gjdy7o.png)