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Find a positive and a negative coterminal angle for 140 degree

User Peacetype
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Answer

Positive coterminal angle to 140° = 500°

Negative coterminal angle to 140° = -220°

Step-by-step explanation

Considering that a full revolution is 360°, finding angles that are coterminal with another angle in any given range will involve adding or subtracting 360° from the given angle till we are in the required range.

Basically, these coterminal angles are essentially the same angles, albeit in different revolutions.

For this question, the angle is 140°

For a positive coterminal angle, we go to the revolution that is after 0° to 360°

So, we get there simply by adding 360° to our angle provided.

Positive coterminal angle to 140° = 140° + 360° = 500°

For a negative coterminal angle, we go to the revolution that is before 0° to 360°.

So, we get there simply by subtracting 360° from our angle provided.

Negative coterminal angle to 140° = 140° - 360° = -220°

Hope this Helps!!!

User Leo Lin
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