Which angles are coterminal with an angle drawn in standard position measuring 282°?

Select all correct angle measures.


−438∘

−78∘

78°

572°

642°

Respuesta :

Answer:

−438°, -78°, 642°

Step-by-step explanation:

Given angle:

282°

To find the co-terminal angles of the given angle.

Solution:

Co-terminal angles are all those angles having same initial sides as well as terminal sides.

To find the positive co-terminal of an angle between 360°-720° we will add the angle to 360°

So, we have: [tex]282\°+360\°=642\°[/tex]

To find the negative co-terminal of an angle between 0° to -360° we add it to -360°

So, we have:  [tex]282\°-360\°=-78\°[/tex]

To find the negative co-terminal of an angle between -360° to -720° we add it to -720°

So, we have:   [tex]282\°-720\°=-438\°[/tex]

Thus, the co-terminal angles for  282° are:

−438°, -78°, 642°