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Exterior Angles

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by

Mr Mattock

on 16 January 2017

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Transcript of Exterior Angles

Exterior Angles
Starter
Start on the left, work your way across doing the calculations in your head, and write down the answer.

START ANSWER

7 >> x 12 , - 3 , ÷ 27 , x 12 , ÷ 4 , x 5 , x 2 , ÷ 6 , x 5 ………….

5 >> x 11 , - 7 , ÷ 24 , x 9 , ÷ 6 , x 4 , x 3 , ÷ 4 , x 3 ………….

4 >> x 9 , - 9 , ÷ 3 , x 7 , ÷ 3 , x 3 , x 2 , ÷ 6 , x 2 ………….

9 >> x 8 , - 4 , ÷ 2 , x 3 , ÷ 6 , x 2 , x 2 , + 4 , x 2 ………….

7 >> x 4 , - 7 , ÷ 3 , x 2 , ÷ 7 , x 5 , x 3 , ÷ 5 , x 7 ………….

Examples
Exterior angles
L.O. - Understand the properties of the exterior angles of polygons, and calculate with exterior angles.
Exterior angles of any polygon add up to 360
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Find the size of angle a
A regular polgon has interior angles of 156 , find the number of sides of the polygon.
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Examples
Find the size of angle a
A regular polgon has interior angles of 156 , find the number of sides of the polygon.
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102 + 81 + 63 + 90 + a = 360
336 + a = 360
a = 360 - 336 = 24
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Exterior angle = 24

Number of sides = 360 /24 = 15 sides
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Worked
Example

Activity
Complete the worksheet
Activity
Complete the worksheet
1) a = 90 , b = 110
2) a = 140
3) b = 105
4) c = 60
5) d = 50
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Starter
Start on the left, work your way across doing the calculations in your head, and write down the answer.

START ANSWER

7 >> x 12 , - 3 , ÷ 27 , x 12 , ÷ 4 , x 5 , x 2 , ÷ 6 , x 5 ……
75
…….

5 >> x 11 , - 7 , ÷ 24 , x 9 , ÷ 6 , x 4 , x 3 , ÷ 4 , x 3 ……
27
…….

4 >> x 9 , - 9 , ÷ 3 , x 7 , ÷ 3 , x 3 , x 2 , ÷ 6 , x 2 ……
42
…….

9 >> x 8 , - 4 , ÷ 2 , x 3 , ÷ 6 , x 2 , x 2 , + 4 , x 2 ……
144
…….

7 >> x 4 , - 7 , ÷ 3 , x 2 , ÷ 7 , x 5 , x 3 , ÷ 5 , x 7 ……
42
…….

Plenary
Find the value of x.
Plenary
Find the value of x.
8x + 150 = 360
8x = 210
x = 26.25
Key
Examples

Activities
Activity
Answers
Full transcript