Question

In what quadrant does the angle whose measure is 1,230° terminate?

Answer 1

In the second quadrant.

Answer 2

2nd quadrant.

Explanation:

We are asked to find the quadrant in which angle with measure of 1,230° terminate.

We know that angles between 0 degrees to 90 degrees lie in 1st quadrant, angles between 90 degrees to 180 degrees lie in 2nd quadrant, angles between 180 degrees to 270 degrees lie in 3rd quadrant and angles between 270 degrees to 360 degrees lie in 4th quadrant.

To find our required quadrant, we will find eliminate the multiple of 360 from 1230 as:

`360* 3=1080`

Now, we will subtract 1080 from 1230 as:

`1230-1080=150`.

Since angles between 90 degrees to 180 degrees lie in 2nd quadrant, therefore, 1,230° terminates in 2nd quadrant.