Drawing and Measuring Angles Worksheet | PDF printable Geometry ... - Free Printable

To solve the problem of measuring the angles in the provided worksheet, we need to use a protractor. Here's a step-by-step explanation of how to measure each angle:

Step 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: Between 180° and 360°

Step 2: Using a Protractor

1. Place the center of the protractor (usually marked with a small hole or dot) on the vertex of the angle.
2. Align one arm of the angle with the baseline of the protractor.
3. Read the angle measurement where the other arm of the angle crosses the protractor scale. Make sure to use the correct scale (inner or outer) depending on the direction of the angle.

Step 3: Measure Each Angle

#### Section A: Measure the following angles.

1. Angle 1: This is an acute angle. Measure it using the inner scale of the protractor.
- Measurement: Approximately 45°

2. Angle 2: This is an obtuse angle. Measure it using the outer scale of the protractor.
- Measurement: Approximately 120°

3. Angle 3: This is an acute angle. Measure it using the inner scale of the protractor.
- Measurement: Approximately 30°

4. Angle 4: This is an acute angle. Measure it using the inner scale of the protractor.
- Measurement: Approximately 20°

5. Angle 5: This is a reflex angle. Measure the corresponding acute angle first (using the inner scale), then subtract from 360°.
- Measurement: Approximately 300° (360° - 60°)

6. Angle 6: This is an obtuse angle. Measure it using the outer scale of the protractor.
- Measurement: Approximately 135°

7. Angle 7: This is a reflex angle. Measure the corresponding acute angle first (using the inner scale), then subtract from 360°.
- Measurement: Approximately 270° (360° - 90°)

#### Section B: Measure the following angles.

1. Angle 1: This is an acute angle. Measure it using the inner scale of the protractor.
- Measurement: Approximately 35°

2. Angle 2: This is an acute angle. Measure it using the inner scale of the protractor.
- Measurement: Approximately 25°

3. Angle 3: This is an obtuse angle. Measure it using the outer scale of the protractor.
- Measurement: Approximately 110°

4. Angle 4: This is a reflex angle. Measure the corresponding acute angle first (using the inner scale), then subtract from 360°.
- Measurement: Approximately 240° (360° - 120°)

5. Angle 5: This is an acute angle. Measure it using the inner scale of the protractor.
- Measurement: Approximately 50°

6. Angle 6: This is a reflex angle. Measure the corresponding acute angle first (using the inner scale), then subtract from 360°.
- Measurement: Approximately 250° (360° - 110°)

7. Angle 7: This is a reflex angle. Measure the corresponding acute angle first (using the inner scale), then subtract from 360°.
- Measurement: Approximately 200° (360° - 160°)

Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Section A:} & \text{1) 45°, 2) 120°, 3) 30°, 4) 20°, 5) 300°, 6) 135°, 7) 270°} \\
\text{Section B:} & \text{1) 35°, 2) 25°, 3) 110°, 4) 240°, 5) 50°, 6) 250°, 7) 200°}
\end{array}
}
\]