Classifying angles
Name acute, right, obtuse, straight and reflex angles.
Practice + answer key · 4 pages
Worksheet settings8 questions · 2 columns · A4
Geometry
What you’ll practice
Assign an angle type from its degree measure.
Use the given degree measure to name each angle. The marked arc shows the turn you need to classify, which matters when an angle is greater than 180°.
How this skill works
Acute angles are between 0° and 90°; a right angle is 90°. Obtuse angles are between 90° and 180°.
A straight angle is 180°. A reflex angle is greater than 180° and less than 360°.
Worked example
- 125° is greater than 90° and less than 180°.
- It is an obtuse angle.
Answer: Obtuse
Teaching notes
- Use the marked arc, not the smaller gap between two rays, for a reflex angle.
Practice questions
- Classify the marked 180° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
- Classify the marked 90° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
- Classify the marked 90° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
- Classify the marked 107° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
- Classify the marked 288° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
- Classify the marked 180° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
- Classify the marked 305° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
- Classify the marked 175° angle.
Two rays share a vertex. The marked arc identifies the angle to classify.
Answers and steps
- Straight
- An angle of exactly 180° is a straight angle.
- Right
- An angle of exactly 90° is a right angle.
- Right
- An angle of exactly 90° is a right angle.
- Obtuse
- 107° is greater than 90° and less than 180°.
- Reflex
- 288° is greater than 180° and less than 360°.
- Straight
- An angle of exactly 180° is a straight angle.
- Reflex
- 305° is greater than 180° and less than 360°.
- Obtuse
- 175° is greater than 90° and less than 180°.