Reflex Angle
Pronunciation: /ˈri.flɛks ˈæŋ.gəl/ Explain
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Can you find all 5 angle classes represented?
 Manipulative 1  Angle Classes Created with GeoGebra. 

Angles
are divided into four classes according to their measure. A reflex
angle is an angle that measures more than 1/2 of a
full circle and less than afull circle.
Classes of Angles
Degree Measure  Radian Measure  Class Name 
α < 90° 
α < π/2 rad. 
Acute angle 
α = 90° 
α = π/2 rad. 
Right angle 
90° < α < 180° 
π / 2 < α < π
rad. 
Obtuse angle 
α = 180° 
α = π rad. 
Straight angle 
180 < α < 360° 
π < α < 2π
rad. 
Reflex angle 
α = 360° 
α = 2π rad. 
Full angle 
Table 1: Classes of angles 

References
 McAdams, David E.. All Math Words Dictionary, reflex angle. 2nd Classroom edition 201501084799968. pg 153. Life is a Story Problem LLC. January 8, 2015. Buy the book
 reflex angle. merriamwebster.com. Encyclopedia Britannica. MerriamWebster. Last Accessed 12/4/2018. http://www.merriamwebster.com/dictionary/reflex angle. Buy the book
Cite this article as:
McAdams, David E. Reflex Angle. 5/2/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/reflexangle.html.
Image Credits
Revision History
5/2/2019: Changed equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
12/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra app. (
McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (
McAdams, David E.)
12/14/2009: Expanded table of angle classes. (
McAdams, David E.)
9/16/2008: Initial version. (
McAdams, David E.)