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# Interior Angles of Polygons

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by

## Mr Mattock

on 17 January 2017

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#### Transcript of Interior Angles of Polygons

Interior angles of Polygons
Starter
Polygons
How many triangles do you
see in each picture?

How can you use this to calculate
the number of degrees in the shapes?
L.O. - To find the sum of the angles in any polygon and hence find missing angles.
No. of triangles
Sum of Interior angles
Polygons
No. of triangles
Sum of Interior angles
1
2
3
4
5
6
7
8
5
6
7
8
9
10
1 x 180 = 180
2 x 180 = 360
3 x 180 = 540
4 x 180 = 720
5 x 180 = 900
6 x 180 = 1080
7 x 180 = 1260
8 x 180 = 1440
1 = 360 2 = 360 3 = 360 4 = 360
5 = 360 6 = 360 7 = 360 8 = 360
9 = 360 10 = 360 11 = 540 12 = 540
13 = 540 14 = 720 15 = 180 16 = 1080
17 = 180 18 = 180 19 = 1440 20 = 720
21 = 1080 22 = 180 23 = 180
24 = 180 25 = 180
Number of sides
= 6.

Sum of interior
angles =
6 x 180 - 360 =
720.

720 - (120 + 90 +
110 + 130 + 160)
= 110.

x = 110
o
Main Activity 2
Complete the sheet to find the missing angles.
Key
Examples

Activities
Activity