Which pair of angles are coterminal with 220 degrees?
A. 40 degrees, 400 degrees
B. -580 degrees, 140 degrees
C. -140 degrees, 580 degrees
D. 140 degrees, 580 degrees

Respuesta :

Answer:

A. 40 degrees, 400 degrees

Step-by-step explanation:

Coterminal angles are defined as angles which have the same terminal side.

To find coterminal angles, we just need to sum or subtract 360° from the first angle.

For example, the angle 400° is coterminal with 40°, beacuse 40° + 360° = 400°.

Therefore, the right asnwer is A. That pair of angles are coterminal angles.

On the other hand, the other choices don't show coterminal angles, because

-580 + 360 = -220°

-140 + 360 = 220°

140 + 360 = 500°

The pair of angles are coterminal with 220 degrees are -140 degrees and 580 degrees.

The correct answer is option C

Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or to each angle, depending on whether the given angle is in degrees or radians.

The pair of angles are coterminal with 220 degrees

220° + 360° = 580°

220° - 360° = -140°

Therefore, the pair of angles are coterminal with 220 degrees are -140 degrees and 580 degrees.

For more information:

https://brainly.com/question/23093580