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2 years ago

Select all that are measures of angles coterminal with a –60° angle.

Mathematics

2 answers:

miss Akunina [59]2 years ago

6 0

Answer:

Co-terminal angles from given options are <u>300° , - 420°, 660°, - 780°.</u>

Step-by-step explanation:

Co-terminal angles are angles that have same terminal and initial sides.

We can find co-terminal angles by simply adding or subtracting k ×360° (where k = 1,2,3...) to the given angle.

So, co-terminal angle to -60° angles

- 60° + 360° = 300°

- 60° - 360° = - 420°

- 60° + 2×360° = - 60° + 720° = 660°

- 60° -2×360° = - 60° - 720° = - 780°

- 60° + 3×360° = - 60° + 1080° = 1020°

- 60° -2×360° = - 60° - 1080° = - 1140°

Thus, Co-terminal angles from given options are <u>300° , - 420°, 660°, - 780°.</u>

monitta2 years ago

4 0

-60

-60 + 360 = 360 -60 = 300

-60 + 360 + 360 = -60 +720 = 720 - 60 = 660

Also for the negative.

-60 -360 = -420

-60 -360 -360 = -780

-780°, -420°, 300°, 660°

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