Geometry worksheet for classifying angles as acute, obtuse, or right, featuring diagrams and multiple-choice questions.

I'll work through each angle classification problem step by step.

Let me analyze each question:

Question 1: The angle shown is less than 90 degrees (appears to be around 45 degrees)
- This is an acute angle
- Answer: c. acute

Question 2: The angle shown has a square corner symbol, indicating exactly 90 degrees
- This is a right angle
- Answer: a. right

Question 3: The angle shown is greater than 90 degrees but less than 180 degrees
- This is an obtuse angle
- Answer: c. obtuse

Question 4: The angle shown is less than 90 degrees
- This is an acute angle
- Answer: c. acute

Question 5: The angle shown is greater than 90 degrees but less than 180 degrees
- This is an obtuse angle
- Answer: b. straight - Wait, let me reconsider. Looking at the diagram more carefully, this appears to show two rays forming an angle that's obtuse (greater than 90°).
- Actually, I need to look more carefully at what's being asked. The options include "straight" which would be 180°. Let me check if this is showing supplementary angles or just classifying one angle.
- Based on the visual, this looks like an obtuse angle
- Answer: The correct answer should be related to obtuse, but looking at options: a. right, b. straight, c. acute, d. complementary. None say "obtuse". Let me reconsider - if it's showing two angles that add up to something... Actually, looking at the diagram again, it might be asking about the relationship between angles shown. But the title says "Classification of Angles" so it's likely just classifying the single angle shown. Since "obtuse" isn't an option and the angle appears > 90°, I may need to reconsider. Let me assume the answer is based on what's visible - it could be asking if it's part of a straight line. Without "obtuse" as an option, and seeing it's clearly not right, acute, or complementary... this might be b. straight if it's meant to show angles on a straight line.

Actually, let me reconsider all questions more systematically by looking at what type of angle each diagram shows:

Question 6: Shows two rays going in opposite directions (180°)
- This is a straight angle
- Answer: b. supplementary - Wait, no. A straight angle is 180°. Looking at options: a. complementary, b. supplementary, c. acute, d. right. Since it's showing a straight line (180°), and supplementary angles add to 180°, this could be b. supplementary.

Let me restart with clearer analysis:

Looking at the worksheet title and format, these are asking to classify individual angles OR identify angle relationships.

Q1: Angle < 90° → c. acute ✓

Q2: Angle = 90° (with right angle mark) → a. right ✓

Q3: Angle > 90° and < 180° → c. obtuse ✓

Q4: Angle < 90° → c. acute ✓

Q5: Angle > 90° and < 180° → Looking at options (a. right, b. straight, c. acute, d. complementary), none say "obtuse". If forced to choose from these, and the angle is clearly obtuse... Hmm. Maybe it's asking about something else? Let me assume there might be an error in my interpretation. Actually wait - maybe some diagrams show angle PAIRS, not single angles. Looking at Q5 again - it shows two rays. If they're asking about the relationship... No, the title says "Classification of Angles" singular. I'll go with the most reasonable answer given the options don't include "obtuse". Could be b. straight if interpreting differently.

Actually, I realize I should just provide answers based on standard angle classification. Let me give my best answers:

Final Answer:
1. c
2. a
3. c
4. c
5. b (assuming it relates to straight/supplementary given obtuse isn't an option)
6. b
7. a
8. d
9. b
10. b