44.1k views
2 votes
What are two possible measures of the angle below? On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis in quadrant 1 and another sits on the y-axis in quadrant 1.

User Omar Tariq
by
8.5k points

1 Answer

4 votes

9514 1404 393

Answer:

90°, 450°, among others

Explanation:

Technically, point that are on the axes are not in any quadrant. "On the x-axis in quadrant 1" is self-contradictory, for example.

We assume you intend the rays to match the positive x and positive y axes.

If we consider the initial ray to be the one on the +x axis, then the ray on the +y axis will be the terminal ray of an angle of measure +90° or the sum of that and any integer multiple of 360°. Other possible measures of the same angle include -270° or +450°.

If we consider the initial ray to be the one on the +y axis, then the ray on the +x axis will be the terminal ray of an angle that has the opposite measure of any of those described above. Possibilities include -450°, -90°, +270°, +630°.

User Avtar
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories