Question

if the measure of directed angle is 210 degree, then what is the measure of an angel which is co-terminal with
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Answer 1

Answer:

Answer = -150*

Step-by-step explanation:

directed angle = 210*

210* - 310* = -150*

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Answer 2

Given:

The measure of the directed angle=210°

To find:

The measure of the co-terminal angle

Solution:

We can find the measure by following the steps given below-

We know that the co-terminal of an angle can be obtained by adding/ subtracting by 360°.

Any directed angle can have an infinite number of angles that are co-terminal to it.

The directed angle=210°

The co-terminal angle= 210°+ - 360°

= 210°+360°=570°

=210°- 360°= - 150°

Other angles will be

= -150°-360°= -510°

=570°+360°= 930°

The co-terminal angles are 570°, 930°, -510°, -150°, and so on.

Therefore, the measure of a co-terminal angle of 210° is -150°.