Geometry

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# Try some yourself

## Protractor

Click here [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] to try using a protractor.

## Question 1

• (a) How would you refer to angle α in this triangle by means of the letters A, B and C?

• (b) Measure α with a protractor , if you have one, or otherwise estimate it.

• (c) What type of angle is α?

• (d) Find β without using a protractor using the fact that the three angles of a triangle always add up to 180°.

• (a) Any of the following could be used: , , BAC, , CAB.

• (b) α = 80°.

• (c) Because α is less than 90°, it is an acute angle.

• (d) As the three angles of a triangle always add up to 180°,

• Therefore

## Question 2

2 This pie chart shows the proportions of people voting for four parties in a local election.

• (a) Measure the angles of the four slices of the pie with your protractor or estimate them if you don't have a protractor.

• (b) Check your measurements by ensuring that the angles add up to 360°.

• (c) Work out the percentage of the total vote polled by each of the four parties.

• (a) Red party: 120°.

Blue party: 95°.

Yellow party: 95°.

Green party: 50°.

• (b) 120° + 95° + 95° + 50° = 360°.

• (c) Since 360° represents 100%, 1° will represent or .

• So the Red party polled

The Blue party and the Yellow party polled

The Green party polled

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