Question

What is a possible measure of an angle that has a terminal side in Quadrant III and makes a 60degree angle with the x -axis

Answer 1

Answer:

$240^\circ$

Step-by-step explanation:

See the attached picture. One possible angle measure is $60^\circ+180^\circ=240^\circ$

Answer 2

The possible measure of an angle with terminal side in 3rd quadrant and making an angle of 60°with the X-axis is 240°.

What is the terminal side of an angle?

When the vertex of an angle is at the origin and one ray is on the positive x-axis, it is said to be in standard position. The ray on the x-axis is known as the starting side, while the ray on the y-axis is known as the terminal side.

The question is shown in the figure below:

The angle made with X - axis = 60°

Angle is lying in 3rd quadrant

If we start moving in the anticlockwise direction then the measure of the total angle will be 180° + 60° = 240°.

Hence, the total angle for an angle lying in 3rd quadrant is 240°.

Learn more about angles on:

https://brainly.com/question/25716982

#SPJ2