Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

A, B, C and D lie on a circle. TU is a tangent to the circle at D, and DA is parallel to CB. The diagram marks angles at D of $38^\circ$ (between tangent TU and chord DC) and $60^\circ$ (inside the circle). Diagram NOT TO SCALE.
(main)[3]

Determine the value of $x$ and the value of $y$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The value of $x$ is $38$.” …

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