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

 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

Since 0° < 80° < 360°, so the required measure of the co-terminal angle is 80°.

Thus, the answer is 80°.

Coterminal angles are measured from the positive x-axis. The coterminal angle that is equal to 800° is 80°.

Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.

As it is given to us that the angle is measuring 800°, therefore,

800° - 360° = 440°

But still, it is greater than 360°, therefore we will again subtract 360°,

440° - 360° = 80°

Hence, the coterminal angle that is equal to 800° is 80°.

Learn more about Coterminal Angle:

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