Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring 800°.

Answer:  The required measure of the co-terminal angle is 80°. Step-by-step explanation:  We are given to find the measure of an angle with measure between 0° and 360° that is co terminal with an angle measuring 800°.Co terminal Angles : These are the angles with the same initial side and terminal sides. To find co terminal angles of an angle, we just need to add or subtract 360° from the given angle.The measure of the given angle is 800°.Since the measure is greater than 360°, so we just go on subtracting 360°'s again and again until we reach at a measure lying between 0° and 360°.We have[tex]800^\circ-360^\circ=440^\circ>360^\circ,\\\\440^\circ-360^\circ=80^\circ<360^\circ.[/tex]Since 0° < 80° < 360°, so the required measure of the co-terminal angle is 80°. Thus, the answer is 80°.