Angles Around a Point

The angles above all add to 360°

140° + 87° + 53° + 80° = 360°

Because of this, if there is an unknown angle we can always find it.

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°
Sum of Known angles = 298°
Angle c = 360° − 298°
Angle c = 62°