Angles at a Point

Angles at a Point

GCSE(F),

Angles about a point add up to 360º (which is a complete circle).

If a point is on a straight line, then the angles on each side of the line add up to 180º.

Examples

1. What is the value of the angle A in this diagram?

Answer: 220º

There are 360º in a circle. 140º has been allocated to one angle: there are 220º dealt in the circle.

2. What is the value of the angle, B, in the diagram below?

Answer: 140º

Angles at a point add up to 360º. Adding up the known angles: 30 + 130 + 60 = 220º. Subtract from 360º: 360 - 220 = 140º.