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in order to find the reference angle, an angle less than or equal to 90 degrees formed by the x-axis and the terminal side of an angle, one needs to first find what quadrant on the coordinate plane the angle belongs to.
The negative (-) sign in -140 refers to the direction 360 degree turn begins at (and therefore the quadrant it begins at). Instead of taking the regular backwards "C", counterclockwise direction, the turn begins clockwise. To convert it, simply add 360 degrees, to get 220 degrees, an angle in the third quadrant.
These are the guidelines to follow when finding reference angles:
If angle, A, is in first quadrant then the reference angle will be itself as it is already 90 degrees or under.
If angle, A, is in second quadrant then the reference angle will be 180 - A .
If angle, A, is in third quadrant then the reference angle will be A - 180 .
If angle, A, is in fourth quadrant then the reference angle will be 360 - A "
These subtractions are all in reference to the nearest angle of a quadrant and are in degrees.
Being in the third quadrant, take the angle, A, and subtract 180 from it to get:
220 - 180 = 40
Thus, the reference angle for -140 degrees is 40 degrees.
Follow the same directions for other angles, first determining whether the angle needs to be converted into a positive value (counterclockwise), then locate the quadrant and use the rules above for the specific angle(s) being looked at and asked for.
What else can I help you with?
What is an angle of 140 degrees called?
140 degrees is an obtuse angleAn angle of 140 degrees would be called obtuse.
What is the reference angle for an angle with the measure of 175 degrees?
The reference angle for an angle with the measure of 175 degrees is 5 degrees
How many sides does a regular polygon have with one interior angle measuring 140 degrees?
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
What is the reference angle of 90 degrees?
Quadrantals are their own reference angle, so 90 degrees.
What is the measure of the supplement of a 140 degree angle?
40 degrees ( 180 - 140 = 40 )
What is an angle of 140 degrees called?
140 degrees is an obtuse angleAn angle of 140 degrees would be called obtuse.
What angle equals 140 degrees?
An angle that equals 140 degrees would be considered an "obtuse" angle. This is because it is greater than 90 degrees but does not exceed a straight line of 180 degrees.
What is the reference angle of negative 200 degrees?
To find the reference angle for negative 200 degrees, first convert it to a positive angle by adding 360 degrees, resulting in 160 degrees. The reference angle is then found by subtracting this angle from 180 degrees, yielding a reference angle of 20 degrees. Thus, the reference angle for negative 200 degrees is 20 degrees.
What is the reference angle for an angle with the measure of 175 degrees?
The reference angle for an angle with the measure of 175 degrees is 5 degrees
What is the reference angle to a 140 degree angle?
60
What is a 140 degree angle called?
An angle of 140 degrees is an obtuse angle because it is greater than 90 but less than 180 degrees.
What is 140 degrees angle called?
A 140 degree angle would be called an obtuse angle.
What is the reference angle of 80 degrees?
The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. For an angle of 80 degrees, since it is already in the first quadrant and less than 90 degrees, the reference angle is simply 80 degrees itself. Thus, the reference angle of 80 degrees is 80 degrees.
What is the reference angle of 10 degrees?
The reference angle is the acute angle formed between the terminal side of the angle and the x-axis. For an angle of 10 degrees, since it is already in the first quadrant and is acute, the reference angle is simply 10 degrees itself. Thus, the reference angle for 10 degrees is 10 degrees.
What is an angle that measures 140 degrees?
An angle of 140 degrees is obtuse because it is greater than 90 but less than 180 degrees
How many sides does a regular polygon have with one interior angle measuring 140 degrees?
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
What is the reference angle of 90 degrees?
Quadrantals are their own reference angle, so 90 degrees.
