Mathematics 4024 · O Level · Angles

Angles — practice question

PBQ and RACS lie parallel to each other. BAE and BCD each form straight lines. $AB = AC$, $\angle QBC = 58^\circ$ and $\angle AED = 47^\circ$.
(a(i))[3]

Calculate $\angle BAC$, and show reasons for every step in your working.

(a(ii))[1]

Calculate $\angle CDE$.

(b)[3]

The shaded region $M$ is part of a regular pentagon, and the shaded region $N$ is part of a regular octagon. Calculate $x$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answer: $64^\circ$

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