GCSE · Circles, arcs & sectors

Circle theoremsExam-style questions

The theorems about angles in a circle — at the centre, in a semicircle, in the same segment, and in a cyclic quadrilateral — why each is true, and the exact wording examiners require as a reason.

Start practising Read the lesson

16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
$A$ , $B$ and $C$ are points on a circle with centre $O$ .

Angle $ABC = 36°$ .Diagram NOT accurately drawn

Work out the size of the angle marked $x$ . Give a reason for your answer.
Level 2 · 3 marksTry it