which of the following angles, when placed in standard position, does not land in quadrant III?

A. 180 degrees
B. -179 degrees
C. 145 degrees
D. -97 degrees

Stuck can someone please help me?

Better review this topic

QIII includes angles

from 180 to 270
or -90 to -180

I guess 180 or -180, since it lies on the border between QII and QIII should be counted in either of those. Otherwise you cannot choose just one answer.

Then A?

Uhm the answer is 145.

Btw me and Jack are taking a break...

Sure, I'd be happy to help! Let's see which angle does not land in quadrant III.

Quadrant III is the lower left-hand side of the coordinate plane. In this quadrant, both the x-coordinate and the y-coordinate are negative. So if an angle is placed in quadrant III, its terminal side will lie in this region.

Now, let's analyze the given angles:

A. 180 degrees: This angle lies on the negative x-axis, which is in quadrant III. So it does land in quadrant III.

B. -179 degrees: Although it's close, this angle actually falls just short of the negative y-axis, which is in quadrant III. So, it does land in quadrant III.

C. 145 degrees: This angle lies in the upper right-hand side of the coordinate plane, which is quadrant I. So, it does not land in quadrant III.

D. -97 degrees: This angle falls just short of the positive y-axis, which is in quadrant II. So, it also does not land in quadrant III.

Therefore, the angle that does not land in quadrant III is option C, 145 degrees.

Hope that helps!

To determine which angle does not land in quadrant III when placed in standard position, we need to understand the characteristics of each quadrant. In standard position, the starting point is always the positive x-axis, and the positive direction is counterclockwise.

Quadrant III is below the x-axis and to the left. It consists of angles between 180 degrees and 270 degrees.

Let's analyze each option:

A. 180 degrees: This angle starts on the positive x-axis and rotates counterclockwise for a full revolution (360 degrees), landing perfectly on the negative x-axis in Quadrant II. Therefore, it does land in Quadrant III.

B. -179 degrees: This angle starts on the positive x-axis and rotates counterclockwise by 179 degrees, stopping just before the negative x-axis. Since it stops just before entering Quadrant III, it does not actually land in that quadrant.

C. 145 degrees: This angle starts on the positive x-axis and rotates counterclockwise by 145 degrees, stopping in Quadrant II, above the x-axis. Therefore, it does not land in Quadrant III.

D. -97 degrees: This angle starts on the positive x-axis and rotates counterclockwise by 97 degrees, stopping just before the negative y-axis. Similar to option B, it does not enter Quadrant III.

Based on the above analysis, option C (145 degrees) does not land in Quadrant III when placed in standard position.

no. As I explained, 180 is in both QII and QIII

B is in QIII
C is in QII
D is in QIII

You just need to draw the angles, if you can't do the math.....