### Using a Protractor (Measuring Angles)

#### Lesson Objective

In this lesson, we will learn how to measure angles using a protractor.

#### About This Lesson

In this lesson, we will:

- Learn what is a protractor. The following picture shows the parts of a protractor.
- Learn how to use a protractor to measure angles that are:
- Less than 180° (1st math video)
- Greater than 180° (2nd math video)

The study tips and math video below will explain more.

### Study Tips

#### Tip #1

It is important to ensure the following when using a protractor:

- The protractor's origin is at the vertex of an angle.
- The protractor's base line is along the arm.
- Make sure that you are using the appropriate scale when reading the angle. For example, the angle below is 50° and not 130°:

The math videos below will explain more on this.

### Math Video

#### Video on parts of a protractor & measuring angles that are <180°

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#### Math Video Transcript

00:00:04.070

In this lesson, we will learn how to use a protractor to measure angles.

00:00:10.220

Now, this is a protractor. The point here is the 'origin'. This is the base line, the inner scale the outer scale.

00:00:33.060

Knowing this, let's use this protractor to measure angles.

00:00:38.070

Measure this angle, ABC. First, we place the protractor's origin, on the vertex B.

00:00:48.150

Next, make sure that the base line is along the line BC.

00:00:54.120

Looking at the inner scale, we can see that this angle is 70 degrees.

00:01:01.000

Hence, the angle ABC is equals to 70 degrees.

00:01:08.170

Next example, find the value of this angle, ABC.

00:01:14.130

To do so, we place the protractor's origin, on the vertex B.

00:01:20.190

Next, make sure that the base line is along the line BC.

00:01:27.100

Now, from the inner scale, the angle is measured as, 51, 52, 53, 54, 55 degrees.

00:01:32.140

Hence, the angle ABC is equals to, 55 degrees.

00:01:42.220

Next example, measure the angle, ABC.

00:01:50.190

Similarly, we place the protractor's origin on the vertex B, and make sure the base line is along the line, BC.

00:01:55.110

From the inner scale, we can see that, this angle is 130, 131, 132 degrees.

00:02:17.050

Hence, the angle ABC is equals to 132 degrees.

00:02:17.070

That is all for now.

#### Video on measuring angles that are >180° using a protractor

#### Math Video Transcript

00:00:04.000

In this lesson, we will learn on using a protractor to measure any angle that is greater than 180 degrees.

00:00:12.08

Now, measure this angle, ABC.

00:00:16.070

To measure this angle, we split this angle into 2 parts, by drawing a dotted line along BC.

00:00:24.050

By finding the sum of these 2 angles, we will get the angle ABC.

00:00:29.120

Now, we place the protractor, at the vertex B.

00:00:34.170

Next, we rotate the protractor to that its base line is along BC.

00:00:41.130

Here, we can see that, this angle is 180 degrees.

00:00:50.050

Next, to measure this angle, we rotate the protractor, so that its baseline is along the line AB.

00:00:59.040

From the outer scale, we can see that, this angle is 40 degrees.

00:01:08.080

Hence, the angle ABC is equals to 180 degrees, plus 40 degrees.

00:01:15.180

This gives 220 degrees. Therefore, the angle ABC is 220 degrees.

00:01:26.130

Next example, measure this angle x using a protractor

00:01:31.170

By now, we should know that the angle for a full rotation is 360 degrees.

00:01:38.150

Therefore, we can find x, by taking 360 degrees, minus this angle.

00:01:46.220

So, let’s measure this angle using a protractor.

00:01:51.220

To do so, we place the protractor's origin, here.

00:01:56.230

Then, make sure that the base line is along this line.

00:02:03.060

From the outer scale, we can see that this angle is 60, 61, 62, 63, 64, 65 degrees.

00:02:24.000

Hence, x is equals to, 360 degrees, minus by 65 degrees. This gives 295 degrees.

00:02:36.080

That is all for this lesson, try out the practice question to further your understanding.

### Practice Questions & More

#### Multiple Choice Questions (MCQ)

Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on using a protractor or pick your choice of question below.

- Question 1 on measuring an angle that is lesser than 180°
- Question 2 on measuring an angle that is greater than 180°

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