Question

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 254

Answer 1

360-254= -106
One angle is 254 and the other -106

Answer 2

614°, -106°

Explanation:

Coterminal angles are angles in standard position, that is, angles with the initial side on the positive x-axis, that have a common terminal side.

Coterminal angles can be found by adding or subtracting 360° to the original angle.

Let's consider the angle 254°.

If we add 360°, we have 254° + 360° = 614°. This is a positive coterminal angle.

If we subtract 360°, we have 254° - 360° = -106°. This is a negative coterminal angle.