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Answer :
The answer is 290 degrees and -70 degrees.To find a positive and a negative angle measure coterminal with a -70 degree angle, we need to add or subtract multiples of 360 degrees.
To find the positive angle measure, we add 360 degrees to -70 degrees -70 degrees + 360 degrees = 290 degrees So, 290 degrees is a positive angle measure coterminal with -70 degrees. To find the negative angle measure, we subtract 360 degrees from -70 degrees -70 degrees - 360 degrees = -430 degrees ,So, -430 degrees is a negative angle measure coterminal with -70 degrees.
A coterminal angle is an angle that has the same initial side and terminal side as another angle but possibly a different number of rotations. To find coterminal angles, you can add or subtract multiples of 360 degrees (for angles in degrees) or 2π (for angles in radians). In this case, we have a -70-degree angle. To find a positive coterminal angle, we add 360 degrees to the given angle: -70 + 360 = 290 degrees. To find a negative coterminal angle, we subtract 360 degrees from the given angle: -70 - 360 = -430 degrees.
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The angles 290° and -430° are coterminal with -70° as we find coterminal angles by adding or subtracting multiples of 360°.
Select a positive and a negative angle measure coterminal with a -70 degree angle
To find coterminal angles, we add or subtract multiples of 360 degrees to the given angle:
For a positive coterminal angle: -70° + 360° = 290°
For a negative coterminal angle: -70° - 360° = -430°
Thus, the angles 290° and -430° are coterminal with -70°.
