Measure the Angle Worksheets - Free Printable

Since I can't view or access images directly, I can't see the specific angles in your uploaded worksheet. However, I can guide you through how to solve this type of problem step by step and help you classify and measure each angle based on typical examples like these.

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🔧 How to Solve: "Name and Measure the Angle" Worksheet

You're asked to:
1. Measure each angle (in degrees).
2. Classify it as acute, obtuse, or reflex.
3. Name the angle (e.g., ∠ABC).

Let’s go through the general approach for each type of angle:

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📐 Step-by-Step Guide

#### 1. Understand the Types of Angles
- Acute angle: Less than 90°
- Right angle: Exactly 90°
- Obtuse angle: Between 90° and 180°
- Straight angle: Exactly 180°
- Reflex angle: Greater than 180° but less than 360°

> Note: The worksheet asks to classify as acute, obtuse, or reflex — so if an angle is exactly 90° or 180°, it may not fit into those categories unless specified.

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#### 2. How to Measure an Angle
- Use a protractor.
- Place the center of the protractor at the vertex of the angle.
- Align one arm of the angle with the 0° line.
- Read the degree measure where the other arm crosses the protractor scale.

⚠️ For reflex angles (greater than 180°), measure the smaller angle first, then subtract from 360°.

Example:
- If the smaller angle is 60°, the reflex angle is 360° − 60° = 300°

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🧩 Let's Analyze Each Angle (Based on Common Worksheet Patterns)

Here’s a likely interpretation of what the angles might look like (based on common designs):

| # | Description | Measurement | Type |
|---|-------------|-------------|------|
| 1 | One ray pointing up, other going left (forming a wide angle) | ~270° | Reflex |
| 2 | Small angle between two rays forming a "V" | ~45° | Acute |
| 3 | Ray pointing down, other to the right (like a clock at 3:00) | ~90° | Right (but not acute/obtuse/reflex? Maybe labeled as "right") |
| 4 | Ray pointing right, other slightly above | ~30° | Acute |
| 5 | Ray pointing down, other pointing left (forming a straight line) | ~180° | Straight (but not classified here) |
| 6 | Two rays forming a small angle near the circle | ~120° | Obtuse |
| 7 | Ray pointing left, other pointing up-left | ~135° | Obtuse |
| 8 | Ray pointing up, other pointing down-right | ~225° | Reflex |
| 9 | Two rays forming a large angle around the circle | ~270° | Reflex |

> ⚠️ These are estimates based on typical layouts. You should use a protractor for exact values.

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✔ How to Fill It In

For each box:
1. Measure using a protractor.
2. Write the degree (e.g., 45°)
3. Classify:
- If < 90° → acute
- If > 90° and < 180° → obtuse
- If > 180° → reflex

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🎯 Example Answers (Hypothetical)

Let’s assume these are the actual measurements:

| # | Degree | Classification |
|---|--------|----------------|
| 1 | 270° | Reflex |
| 2 | 45° | Acute |
| 3 | 90° | Right (not listed; maybe skip or write "right") |
| 4 | 30° | Acute |
| 5 | 180° | Straight |
| 6 | 120° | Obtuse |
| 7 | 135° | Obtuse |
| 8 | 225° | Reflex |
| 9 | 300° | Reflex |

> 💡 Note: Some angles may be straight or right, which aren’t in the given categories. So check the instructions carefully.

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✔ Final Tips

- Always use a protractor for accuracy.
- Double-check whether the angle is inside or outside the arc.
- For reflex angles, measure the smaller angle first, then do:
Reflex = 360° − measured angle

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If you can describe the angles (e.g., “angle 1 looks like a big C shape”), I can give exact answers! Or if you can list the approximate shapes, I’ll help classify and measure them.