Respuesta :
The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.
We have to determine
Which expression finds the measure of an angle that is coterminal with a 45° angle?
According to the question,
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.
The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
A coterminal with 45° is 45°+k°360° with k as an integer.
Then,
The coterminal angle with 45°,
When k = 0
Then,
[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]
When k = 1
Then,
[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]
When k = -1
Then,
[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]
Hence, The measure of an angle that is coterminal with a 45A°+360A°.
For more details about the Coterminal angle refer to the link given below.
https://brainly.com/question/12378421
