Questions: The angle between 0° and 360° that is coterminal with the -113° angle is degrees.

Solution Steps

To find an angle between 0° and 360° that is coterminal with a given angle, you can add or subtract 360° until the angle falls within the desired range. For a negative angle, you typically add 360° repeatedly until the angle is positive and within the 0° to 360° range.

The given angle is \(-113^\circ\).

To find a coterminal angle, we add \(360^\circ\) to the negative angle: \[ -113^\circ + 360^\circ = 247^\circ \]

The resulting angle \(247^\circ\) is within the range of \(0^\circ\) to \(360^\circ\), confirming it is coterminal.

Final Answer