GCSE Maths Foundation Level

Angles Around A Point

What does angles around a point means?
Lines from one point form angles around that point.

What is special about angles around a point?
The angles around a point add up to 360 degrees.

Does it matter how many angles there are?
No. Any number of angles around a point add up to 360 degrees.

So there could be just 2 or 3 angles around a point and they would still add up to 360 degrees?
Yes, so long as the angles go all the way around the point.

Can we do a possible question using the fact that the angles around a point add up to 360 degrees?
Yes, you may be given the size of all except one of the angles around a point and asked to find the size of the unknown angle.

STEP 1 ---- ADD the known angles together
135 + 90 + 70 = 295
STEP 2 ---- SUBTRACT the answer to STEP 1 from 360
360 - 295 = 65
Answer........ Angle A = 65 degrees ........ Angle A = 65°

SAMPLE QUESTION