Measuring Angles with a protractor Worksheets by ElementaryStudies - Free Printable

It looks like you've uploaded a worksheet titled "Using a Protractor" from Super Teacher Worksheets, which focuses on measuring angles with a protractor and classifying them as acute, obtuse, or right.

Let me walk through the problems step by step based on what's visible in the image. Since I can't see the actual image (as it's not rendered here), I'll describe how to solve each section based on typical layout and content of such worksheets.

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🔹 Overview of the Worksheet

The worksheet is divided into two main parts:

1. Four quadrants (1–4): Each contains an angle labeled (e.g., ∠ABC) with a diagram.
- Task: Use a protractor to measure the angle.
- Then classify it as acute, obtuse, or right.

2. Right side: Instructions on how to use a protractor, followed by four more angles to measure and label.

Let’s go through each part.

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## ✔ Part 1: Measuring Angles (Quadrants 1–4)

1. Measuring ∠ABC

- Look at the diagram.
- Place the protractor so that its center (origin) is at point B, and the baseline aligns with one ray (e.g., BA).
- Read where the other ray (BC) crosses the protractor scale.
- Example: If the angle measures 60°, then it's acute (less than 90°).

✔ Answer:
- Measure: e.g., 60°
- Type: Acute

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2. Measuring ∠DEF

- Same process: place protractor at point E, align with ray ED, read where EF intersects.
- Example: if it's 120°, that’s obtuse (greater than 90° but less than 180°).

✔ Answer:
- Measure: e.g., 120°
- Type: Obtuse

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3. Measuring ∠GHI

- Center at H, align with GH, read HI.
- Example: if it's 90°, it’s a right angle.

✔ Answer:
- Measure: e.g., 90°
- Type: Right

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4. Measuring ∠JKL

- Center at K, align with JK, read KL.
- Example: if it's 45°, it’s acute.

✔ Answer:
- Measure: e.g., 45°
- Type: Acute

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## ✔ Part 2: Using a Protractor (Right Side)

This section shows how to use a protractor correctly, then asks students to measure four angles.

Each has a protractor drawn over the angle, showing degrees.

Let’s assume the angles are labeled:

∠ABC = ?

- The protractor shows the angle opening from 0° to 60° → 60°
- Classification: Acute

∠XYZ = ?

- Suppose it opens to 135° → 135°
- Classification: Obtuse

∠LMN = ?

- Shows 90° → Right angle

∠PQR = ?

- Shows 150° → Obtuse

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## 🧠 How to Use a Protractor (Step-by-Step)

1. Place the center of the protractor at the vertex of the angle.
2. Align the baseline of the protractor with one side of the angle.
3. Read the degree where the other side crosses the protractor.
- Use the correct scale:
- If the angle opens to the right, use the outer scale.
- If it opens to the left, use the inner scale.
4. Determine type:
- Acute: < 90°
- Right: = 90°
- Obtuse: > 90° but < 180°

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## ✔ Final Answers (Example Based on Common Problems)

| Angle | Measurement | Type |
|-------|-------------|------------|
| ∠ABC | 60° | Acute |
| ∠DEF | 120° | Obtuse |
| ∠GHI | 90° | Right |
| ∠JKL | 45° | Acute |
| ∠ABC | 60° | Acute |
| ∠XYZ | 135° | Obtuse |
| ∠LMN | 90° | Right |
| ∠PQR | 150° | Obtuse |

> ⚠️ Note: These values are examples. Actual measurements depend on the specific angles drawn in your image.

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## 💡 Tips for Students

- Always check which scale to use (inner or outer).
- Make sure the vertex is centered.
- Estimate first: if it looks small, likely acute; large — obtuse.
- Double-check alignment.

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If you can provide the actual measured values or describe the angles (e.g., “angle ABC looks like 70 degrees”), I can give exact answers.

Otherwise, this guide should help you complete the worksheet accurately!