Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

In the figure, A, B, C and D are points on the circle with centre O. EA is a tangent to the circle at A, and angle EAB is $61^\circ$ while angle BAC is $55^\circ$.
(a)[1]

Determine angle BÂO.

(b)[2]

Determine angle AÔC.

(c)[1]

Determine angle ABC.

(d)[1]

Determine angle CDA.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: 29

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI