Classifying and Naming Angles
Angles
Now, let me show you different types of angles. Play with this applet to explore the different types of angles, what they look like and how big they are. Slide the slider and watch the angle change.
Complementary and Supplementary
Complementary angles are angles that sum to $90$90°. In the diagram on the right, $\angle DOC$∠DOC and $\angle COB$∠COB are complementary.
Supplementary angles are angles that sum to $180$180°. In the diagram on the right, $\angle COD$∠COD and $\angle DOE$∠DOE are supplementary angles.
ANGLE DEFINITIONS
Acute: an angle between 0° and 90°
Right: an angle of exactly 90°
Obtuse: an angle of between 90° and 180°
Straight: an angle of exactly 180°
Reflex: an angle of between 180° and 360°
Revolution: an angle of exactly 360°
Complementary: angles that sum to 90°
Supplementary: angles that sum to 180°
Worked Examples
Question 1
In the following, state the vertex and name the angle.
Question 2
Is this angle acute, obtuse or reflex?