Mathematics 0580 · IGCSE · Angles

Angles — practice question

A diagram shows points A, B, C, D and E. At B, the angle between BC and the horizontal BD is 53^{\circ}. The angle between the sloping line BE and BD is 32^{\circ}. At A on AE, the angle is marked $y^{\circ}$. At E on AE, the angle is marked $x^{\circ}$. ABC lies on one straight line. BD is parallel to AE.
(a)[2]

Determine the value of $x$. State a geometrical reason for your answer.

(b)[2]

Determine the value of $y$. State a geometrical reason for your answer.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $32^\circ$

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