Determine the quadrant in which a 130° angle lies.
a. 4th quadrant
b. 1st quadrant
c. 3rd quadrant
d. 2nd quadrant
You really really really MUST know that.
Sorry yes I do, its the second quadrant isn't it. I had a dumb moment there haha
To determine the quadrant in which a 130° angle lies, we need to understand the concept of quadrants in the coordinate plane.
The coordinate plane is divided into four quadrants, numbered counterclockwise from the top right. Quadrant I is the top right quadrant, Quadrant II is the top left quadrant, Quadrant III is the bottom left quadrant, and Quadrant IV is the bottom right quadrant.
To determine the quadrant of an angle, we need to compare the angle to the angles at the boundaries of each quadrant. Since a full revolution or circle is 360°, any angle between 0° and 90° lies in Quadrant I. Similarly, any angle between 90° and 180° lies in Quadrant II, between 180° and 270° in Quadrant III, and between 270° and 360° in Quadrant IV.
Now, to determine in which quadrant a 130° angle lies, we can compare it to the angles at the boundaries of each quadrant:
- 130° is greater than 90° but less than 180°, so it lies in Quadrant II.
Therefore, the answer is option d. 2nd quadrant.