Measuring and Drawing Angles: Math Skills | Printable Skills Sheets - Free Printable

Problem Overview:

The task involves measuring and drawing angles using a protractor. The goal is to:

1. Measure the given angles in the first three parts (labeled as 1, 2, and 3) and classify them as acute, obtuse, or right.
2. Draw specific types of angles (acute, obtuse, right) and angles with specific measurements (50°, 52°, 135°).

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Step-by-Step Solution:

#### Part 1: Measuring and Classifying Angles

To measure the angles, you would use a protractor. Here’s how to approach each part:

##### Angle 1:
- Measurement: Use the protractor to measure the angle between lines \( M \) and \( N \).
- Type: Determine if the angle is:
- Acute: Less than 90°
- Right: Exactly 90°
- Obtuse: Greater than 90° but less than 180°

##### Angle 2:
- Measurement: Use the protractor to measure the angle between the two lines.
- Type: Classify the angle as acute, right, or obtuse based on its measurement.

##### Angle 3:
- Measurement: Use the protractor to measure the angle between the two lines.
- Type: Classify the angle as acute, right, or obtuse based on its measurement.

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#### Part 2: Drawing Angles

To draw the angles, follow these steps for each type:

##### 4. Acute Angle:
- An acute angle is less than 90°.
- Place the protractor on a straight line.
- Mark a point at any angle less than 90° (e.g., 45° or 60°).
- Draw a line from the vertex through the marked point.

##### 5. Obtuse Angle:
- An obtuse angle is greater than 90° but less than 180°.
- Place the protractor on a straight line.
- Mark a point at an angle greater than 90° (e.g., 120° or 135°).
- Draw a line from the vertex through the marked point.

##### 6. Right Angle:
- A right angle is exactly 90°.
- Place the protractor on a straight line.
- Mark a point at 90°.
- Draw a line from the vertex through the marked point.

##### 7. A 50° Angle:
- Place the protractor on a straight line.
- Mark a point at 50°.
- Draw a line from the vertex through the marked point.

##### 8. A 52° Angle:
- Place the protractor on a straight line.
- Mark a point at 52°.
- Draw a line from the vertex through the marked point.

##### 9. A 135° Angle:
- Place the protractor on a straight line.
- Mark a point at 135°.
- Draw a line from the vertex through the marked point.

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Final Answer Summary:

#### Part 1: Measuring Angles
1. Angle 1:
- Measurement: [Measured value]
- Type: [Acute/Right/Obtuse]

2. Angle 2:
- Measurement: [Measured value]
- Type: [Acute/Right/Obtuse]

3. Angle 3:
- Measurement: [Measured value]
- Type: [Acute/Right/Obtuse]

#### Part 2: Drawing Angles
4. Acute Angle: Draw an angle less than 90°.
5. Obtuse Angle: Draw an angle greater than 90° but less than 180°.
6. Right Angle: Draw an angle exactly 90°.
7. 50° Angle: Draw an angle of 50°.
8. 52° Angle: Draw an angle of 52°.
9. 135° Angle: Draw an angle of 135°.

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Final Boxed Answer:

\[
\boxed{\text{Follow the steps above to measure and draw the angles.}}
\]