Which of the following is a coterminal angle to the angle 37 degrees
a. -350
b. 143
c. 757
d. 398
help
37+360, 37+720, etc.
37-360, 37-720, etc.
so which choice matches one of those?
To find a coterminal angle to the angle 37 degrees, we need to add or subtract multiples of 360 degrees to the given angle.
In this case, we are given the angle 37 degrees.
To find a positive coterminal angle, you can add multiples of 360 degrees.
To find a negative coterminal angle, you can subtract multiples of 360 degrees.
Let's check each option from the given choices:
a. -350: To check if this is a coterminal angle, add 360 degrees to -350 degrees:
-350 + 360 = 10 degrees
Since the resulting angle is not 37 degrees, -350 degrees is not a coterminal angle to 37 degrees.
b. 143: To check if this is a coterminal angle, add 360 degrees to 143 degrees:
143 + 360 = 503 degrees
Since the resulting angle is not 37 degrees, 143 degrees is not a coterminal angle to 37 degrees.
c. 757: To check if this is a coterminal angle, subtract 360 degrees from 757 degrees:
757 - 360 = 397 degrees
Since the resulting angle is not 37 degrees, 757 degrees is not a coterminal angle to 37 degrees.
d. 398: To check if this is a coterminal angle, subtract 360 degrees from 398 degrees:
398 - 360 = 38 degrees
Since the resulting angle is not 37 degrees, 398 degrees is not a coterminal angle to 37 degrees.
None of the given options (a, b, c, d) are coterminal angles to 37 degrees.
To find a coterminal angle to a given angle, add or subtract multiples of 360 degrees.
In this case, to find a coterminal angle to 37 degrees, we can add or subtract multiples of 360 from 37.
Option a: -350 degrees can be a coterminal angle if we add 360 degrees to it. Let's check:
-350 + 360 = 10 degrees.
Since 10 degrees is not the same as 37 degrees, option a is not a coterminal angle to 37 degrees.
Option b: 143 degrees is not a coterminal angle because we cannot add or subtract multiples of 360 from it to get 37 degrees.
Option c: 757 degrees can be a coterminal angle if we subtract 360 degrees from it. Let's check:
757 - 360 = 397 degrees.
Since 397 degrees is not the same as 37 degrees, option c is not a coterminal angle to 37 degrees.
Option d: 398 degrees can be a coterminal angle if we subtract 360 degrees from it. Let's check:
398 - 360 = 38 degrees.
Since 38 degrees is not the same as 37 degrees, option d is not a coterminal angle to 37 degrees.
Therefore, none of the given options are coterminal angles to 37 degrees.