Mathematics 4024 · O Level · Angles

Angles — practice question

From the diagram, $AB$, $BC$, $CD$ and $DE$ form four consecutive sides of a regular polygon. The polygon has each interior angle equal to $160^\circ$. $ABPQR$, $DCP$ and $EDQ$ are straight lines.
(a)[1]

Find the value of $\angle C\hat{A}B$.

(b)[1]

Find the value of $\angle C\hat{B}P$.

(c)[1]

Find the value of $\angle D\hat{Q}R$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answer: $10^\circ$.

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