Find the measure of an angle between 0 degrees and 360 degrees co-terminal with an angle of -110 in the standard position.

Solution:

Given the angle needed is co-terminal with an angle of -110 in the standard position.

Coterminal angles are angles in standard positions having a common terminal side. (angles with the initial side on the positive x-axis).

To get the measurement of the angle, we need to

Add or Subtract the value by 360°.

= 360° - 110°

= 250°

Therefore the measure of the angle is 250°

Example:

Find the measure of an angle between 0 degrees and 360 degrees coterminal with an angle of -180 in standard position.

Solution:

Given the angle needed is coterminal with an angle of -180 in the standard position.

Coterminal angles are angles in standard positions having a common terminal side.(angles with the initial side on the positive x-axis).

To get measurement of the angle, we need to

Add the value by 360°.

= 360° - 180°

= 180°

Therefore the measure of the angle is 180°

Find the measure of an angle between 0 degrees and 360 degrees co terminal with an angle of -110 in standard position.

Summary:

The measure of an angle between 0 degrees and 360 degrees co terminal with an angle of -110 in standard position is 250°.