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Angle M has a measure between 0 and 360 and is coterminal with a –620° angle. What is the measure of angle M?

100°

110°

120°

130°

Verified Answer :

taskmasters

Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. A coterminal angle can be determined by adding or subtracting 360 degrees to the given angle. Thus, for the given -620 degrees angle we add continuously 360 until we find an angle that is in the choices.

-620 + 360 = -260-260 + 360 = 100

Therefore, Angle M is equal to 100 degrees.

facundo3141592

The measure of the coterminal angle is 100°.

What is the measure of angle M?

We know that for an angle A, all the coterminal angles B are of the form:

B = A + n360°

Where n is an integer number.

Then we must find M such that:

M = -620° + n360°

and:

0 < M < 360°

Notice that if we take n = 2 we get:

M = -620° + 2*360° = 100°

The measure of angle M is 100°

If you want to learn more about angles you can read:

https://brainly.com/question/17972372

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