Question

Select all that are measures of angles that are coterminal with a –50° angle.

Answer 1

Coterminal angles are angles that share the same initial side and have a common terminal side. The attached diagram labels the initial and terminal sides, along with example coterminal angles for 45°.

So now let's find the coterminal angles for the one you were given. To find a coterminal with a given angle, simply add or subtract 360° to the angle you were given.

-50° + 360° = 310°
-50° - 360° = -410°

310° and -410° are two coterminal angles with a -50° angle.

Answer 2

The measures of angles that are coterminal with a –50° angle are 310° and -410° if we add and subtract by 360° to angle -50°

What is coterminal angles?

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

Let's denote it with 'a'

a = -50°

To find other measures we have to add and subtract by 360° to angle a respectively, we get:

= -50 + 360⇒ 310°

= -50 -360 ⇒ -410°

Thus, the measures of angles that are coterminal with a –50° angle are 310° and -410° if we add and subtract by 360° to angle -50°

Learn more about the coterminal angles here:

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