Types of Angles: Acute, Right, and Obtuse

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Lesson Details

Grade Level
3-5
Duration (minutes)
1
Summary
Students learn that an angle is two rays meeting at a vertex, then classify angles as acute (less than 90°), right (exactly 90°), or obtuse (more than 90° and less than 180°) by comparing them to 90°. A clock check at 2:00, 3:00, and 5:00 connects the idea to real life.

Types of Angles infographic: an angle is two rays meeting at a vertex, measured in degrees. Three color-coded cards compare each angle to 90°: Acute Angle, less than 90° (example 45°, clock at 2:00 = 60°); Right Angle, exactly 90°, marked with a small square (clock at 3:00 = 90°); Obtuse Angle, more than 90° and less than 180° (example 120°, clock at 5:00 = 150°).

Student Worksheet: Types of Angles: Acute, Right, and Obtuse

Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!

Key Concepts:

• Angle: Two rays that meet at a point called the vertex. Angles are measured in degrees (°).

• Right Angle: Exactly 90°. It looks like the corner of a square and is marked with a small square at the vertex.

• Acute Angle: Less than 90°, smaller than a right angle.

• Obtuse Angle: More than 90° but less than 180°, bigger than a right angle.

Instructions: Read each question carefully and write your answer in the space provided.

  1. Question 1: What is the point called where the two rays of an angle meet?
  2. Question 2: How many degrees are in a right angle?
  3. Question 3: Is a 45° angle acute, right, or obtuse? Explain how you know.
  4. Question 4: An angle measures 120°. What type of angle is it? Explain how you know.
  5. Question 5: At 5:00, what angle do the hands of a clock make? What type of angle is it?
  6. Question 6: Challenge: Each hour mark on a clock is 30° apart. What angle do the hands make at 4:00? What type of angle is it?
Click to reveal Teacher Answer Key

1. The vertex. @ 0:09

2. Exactly 90°. @ 0:15

3. Acute, because 45° is less than 90°. @ 0:28

4. Obtuse, because 120° is more than 90° but less than 180°. @ 0:38

5. 150°, which is obtuse. @ 0:55

6. 120° (4 hour marks × 30° = 120°), which is obtuse. (Application question — not shown in the video)

Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.

🎯 Extension Activity: Give each student the corner of an index card as a "90° tester." Have them hunt for angles around the classroom, hold the card corner against each one, and record whether it's acute, right, or obtuse in a three-column chart.

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