The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
5 degrees
29 degrees
To layout a 45-degree angle, start by marking a point on your work surface where you want the angle to originate. Use a framing square or a protractor to measure a 45-degree angle from a reference line. If using a framing square, align one side with the reference line and mark along the other side to create the angle. Alternatively, you can draw a line from the point at a 45-degree angle using a compass to set equal distances from the reference line.
This is a VERY important question and I am glad you asked it. First you have to remember that in drawing angles we think of 4 quadrants. Think of the XY plane - the first quadrant is where BOTH X and Y are positive. In the 2nd quadrant the X is negative and the Y is positive. In the 3rd quadrant the X and the Y are negative. In the 4th quadrant the X is positive and the Y is negative. Normally when we draw an angle we draw an angle less than 90 degrees. However, we can draw any angle we want from 0 to 360. However that angle can be represented by an angle less than 90 degrees in a certain quadrant. Take an angle like 120 degrees. That angle is the same as a 60 degree angle in the 2nd quadrant. A 210 degree angle is the same as a 30 degree angle in the 3rd quadrant. A 359 degree angle is the same as a 1 degree angle in the 4th quadrant. Those smaller angles are reference angles. This explanation would be better if I could insert graphs. I have attached a link to a picture. Alpha is the angle and Beta is the reference angle.
60
The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
5 degrees
29 degrees
A 30 degree angle is an acute angle because it is greater than 0 but less than 90 degrees.
A reference angle is the positive angle less than 360 which is coterminal with the given angle. For a negative angle add 360 repeatedly until you gat an answer less than 360. =370 + 360 = -10 -10 +360 = 350
17 degrees is an acute angle because it's greater than 0 but less than 90 degrees.
This is a VERY important question and I am glad you asked it. First you have to remember that in drawing angles we think of 4 quadrants. Think of the XY plane - the first quadrant is where BOTH X and Y are positive. In the 2nd quadrant the X is negative and the Y is positive. In the 3rd quadrant the X and the Y are negative. In the 4th quadrant the X is positive and the Y is negative. Normally when we draw an angle we draw an angle less than 90 degrees. However, we can draw any angle we want from 0 to 360. However that angle can be represented by an angle less than 90 degrees in a certain quadrant. Take an angle like 120 degrees. That angle is the same as a 60 degree angle in the 2nd quadrant. A 210 degree angle is the same as a 30 degree angle in the 3rd quadrant. A 359 degree angle is the same as a 1 degree angle in the 4th quadrant. Those smaller angles are reference angles. This explanation would be better if I could insert graphs. I have attached a link to a picture. Alpha is the angle and Beta is the reference angle.
The complement of a 55 degree angle is a 35 degree angle
The reference angle for an angle with the measure of 175 degrees is 5 degrees
A 90 degree angle is a right angle.
118 degree angle