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Functional Skills: Angles and Bearings

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Functional Skills: Angles and Bearings Revision

Angles and Bearings

In this section we will look at the basics of angles and bearings.

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What Are Angles?

Angles are measured in degrees (\degree).

There are used in shapes and inform you how far something has turned from a fixed point.

The diagram above shows the diagonal line has turned 68\degree from the horizontal line.

Angles are called different names depending on their size:

Note: Angles can be measured clockwise or anticlockwise.

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Measuring Angles

To measure angles between lines you can use a protractor.

Step 1: First centre the protractor with the fixed point where the lines meet.

Step 2: Then line up the bottom line of the protractor with one of the lines.

Step 3: Read off the protractor – we can see that this acute angle is 55\degree or 125\degree if you measure the obtuse angle.

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Bearings

Bearings denote the direction of one point to another, given as angles in degrees.

They are always measured clockwise from the North line and are written as three digits, for instance if the angle is 42\degree, then you write 042\degree

Example: The bearing of B from A is 127\degree

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Functional Skills: Angles and Bearings Example Questions

Question 1: Use a protractor to find the angle labelled x.

 

 

[1 mark]

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Using a protractor we can see that the angle is 127\degree.

 

 

Don’t worry if you didn’t get 127\degree exactly, usually you will be given a margin of error, so you would still be correct if you measured it as 126\degree or 128\degree.

Question 2: Using a protractor, find the bearing of B from A.

[1 mark]

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The angle between the North line and the line starting from A to B is 80\degree. So, the bearing of B from A is 080\degree.

Question 3: State whether the following angles are acute, obtuse, reflex or a right angle:

a) 169\degree

b) 87 \degree

c) 90 \degree

d) 222 \degree

[4 marks]

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a) 169\degree is an obtuse angle because it is between 90\degree and 180\degree.

 

b) 87\degree is an acute angle because it is between 0\degree and 90\degree.

 

c) 90\degree is a right angle.

 

d) 222\degree is a reflex angle because it is between 180\degree and 360\degree.

Functional Skills: Angles and Bearings Worksheet and Example Questions

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