Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

(a(i))[2]

Determine the size of one interior angle of a regular $15$-sided polygon.

(a(ii))[2]

The diagram displays part of a regular $15$-sided polygon. Determine the value of $x$.

(b)[4]

$A$, $B$, $C$ and $D$ are points on the circle, centre $O$. $AB$ is a diameter of the circle. Angle $BAC = 24^{\circ}$. Determine angle $ADC$. Give a reason for each step in your working.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Evaluate $180-24$

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