Angles Around a Point: Explained

Contributed by:
NEO
This pdf includes the following topics:-
How to find missing angles around a point
Sum of angles
Angles Around a Point
Examples and many more.
1. Angles Around a Point
We can also use our
knowledge of angles to find
missing angles around a
point.
There are 360˚in a full
turn.
2 180
3
270
All of the angles around a
4 point will add up to this.
4 360
How to find missing angles around a point
I know that there are 360˚ in a
full turn.
I can see that there is already
an angle of 128˚ and 141˚.
128 + 141 = 269
To find the missing angle I need
to find the difference between
269 and 360.
360 – 269 = 91
Angle x = 91˚
Why don’t you try?
Remember that all of
the angles should add
up to 360˚.
Add together the
angles you already
have.
Then find the
difference between 360.
2. Why not have a go at some of these reasoning and problem solving
How to find some additional help:
 What is an angle? Use this page for a helpful reminder on what
angles are:
https://www.bbc.co.uk/bitesize/topics/zb6tyrd/articles/zg68k7h
 This page has a range of clips that may support you with your
understanding of angles: https://www.bbc.co.uk/teach/class-clips-
video/maths-ks2-investigating-angles/zk87t39
 A demonstration of how to find missing angles on a straight line:
https://www.youtube.com/watch?v=cBIJmmz8flI
 A demonstration of how to find missing angles around a point:
https://www.youtube.com/watch?v=mdAwUsf0k1s