Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

Points $A,B,C,D$ and $E$ are on circle centre $O$ in the diagram. $AD$ is a diameter, while $\angle DAC = 33^\circ$ and $\angle ACE = 70^\circ$.

(a)[1]

Find $\angle CDA$.

(b)[1]

Find $\angle DEC$.

(c)[1]

Find $\angle ABC$.

(d)[1]

Find reflex $\angle EOA$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$57^\circ$ ” …