Question

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

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°.