Question

Determine which of the following pairs

of angles are co-terminal.​

Answer 1

Step-by-step explanation:

Given that,

The angles are,

(a). 210°, -150°

Suppose, (b). 330°, -60°

We know that,

If the difference between the angles is a multiple of 360° it is called coterminal angles.

(1). We need to find the coterminal angle

Using given angles

210^{\circ}-(-150^{\circ})=360^{\circ}210

∘

−(−150

∘

)=360

∘

The difference of these angle is 360° so we can say that these angles are coterminal angle.

(2). We need to find the coterminal angle

Using given angles

330^{\circ}-(-60^{\circ})=390^{\circ}330

∘

−(−60

∘

)=390

∘

The difference of these angle is not 360° so we can say that these angles are not coterminal angle.

Hence, (1). These angles are coterminal angle

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