Definition of reflex angle and examples

A reflex angle is an angle whose measure is greater than 180 degrees but smaller than 360 degrees. The angle below is reflex angle.

A reflex angle is always equal to 180 degrees + ( the measure of an acute angle, the measure of a right angle, or the measure of an obtuse angle )

For example, the reflex angle above is equal 225 degrees or 180 degrees + 45 degrees.

Real life examples of reflex angles.

Three-fourths turn of anything gives a reflex angle that is equal to 0.75 × 360 degrees = 270 degrees.

Point your finger toward north. Then, turn your finger to face east, south, and finally west. The path your finder traces out is a reflex angle that is equal to 270 degrees.