Angles Around a Point

Angles around a point will always add up to 360 degrees.

angles that add to 360 degrees
The angles above all add to 360°

53° + 80° + 140° + 87° = 360°

 

Because of this, we can find an unknown angle.

angles that add to 360, including one angle marked c

Example: What is angle "c"?

 

To find angle c we take the sum of the known angles and take that from 360°

Sum of known angles   = 110° + 75° + 50° + 63°
    = 298°
     
Angle c   = 360° − 298°
    = 62°