Respuesta :
Answer: The required measure of the co-terminal angle is 80°.
Step-by-step explanation: We are given to find the measure of an angle with measure between 0° and 360° that is co terminal with an angle measuring 800°.
Co terminal Angles : These are the angles with the same initial side and terminal sides.
To find co terminal angles of an angle, we just need to add or subtract 360° from the given angle.
The measure of the given angle is 800°.
Since the measure is greater than 360°, so we just go on subtracting 360°'s again and again until we reach at a measure lying between 0° and 360°.
We have
[tex]800^\circ-360^\circ=440^\circ>360^\circ,\\\\440^\circ-360^\circ=80^\circ<360^\circ.[/tex]
Since 0° < 80° < 360°, so the required measure of the co-terminal angle is 80°.
Thus, the answer is 80°.
Coterminal angles are measured from the positive x-axis. The coterminal angle that is equal to 800° is 80°.
What are coterminal angles?
Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.
As it is given to us that the angle is measuring 800°, therefore,
800° - 360° = 440°
But still, it is greater than 360°, therefore we will again subtract 360°,
440° - 360° = 80°
Hence, the coterminal angle that is equal to 800° is 80°.
Learn more about Coterminal Angle:
https://brainly.com/question/21384986
