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Angle T had a measure between 0 and 360 and is coterminal with -170 angle. What is the measure of angle T?

User Jpabluz
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Final answer:

Angle T, which is coterminal with -170°, has a measure of 190° after adding 360° to the given angle.

Step-by-step explanation:

Two angles are coterminal if they share the same initial and terminal sides when drawn in standard position, but they might have different rotations to reach the same point. Coterminal angles can be found by adding or subtracting multiples of 360° (a full circle) to the given angle. In this case, the given angle is -170°. To find a coterminal angle that is between 0° and 360°, we can add 360° to -170°:

Angle T = -170° + 360° = 190°

Therefore, the measure of angle T, which is coterminal with -170° and lies between 0° and 360°, is 190°.

User Akusi
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