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

Question

Mathematics

Londyn Benjamin

7 October, 06:11

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

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Answers (1)

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Reagan Stout · Answer 1

Answer: The answer is 190°.

Step-by-step explanation: We are to find the measure of ∠T which lies between 0° and 360° and is co-terminal with an angle of measure - 170°.

We know that two angles are said to be co-terminal if one is obtained from the other by either adding or subtracting 360°.

So, angles which are co-terminal with - 170° are

-170° + 360° = 190°, - 170° - 360° = 530°, etc.

Since 190° lies between 0° and 360°, so measure of ∠T is 190°.

Thus, the answer is 190°.