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bonufazy [111]
2 years ago
11

Which angle is coterminal with a 645° angle?

Mathematics
1 answer:
velikii [3]2 years ago
5 0

Answer:

C

Step-by-step explanation:

Coterminal angles are angles that have a common terminal side.

So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.

We have a 645° angle.

Therefore, all values of the equation:

645\pm 360n

Where <em>n</em> is an integer is coterminal with our original angle.

Letting <em>n</em> = 1 and using the negative case, we acquire:

\Rightarrow 645-360=285

Therefore, an angle measuring 285° is coterminal with a 645° angle.

None of the other options can be reached by adding/subtracting 360.

Therefore, our answer is C.

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