Mathematics 4024 · O Level · Angles

Angles — practice question

In the diagram, $AP$, $BQ$ and $CR$ bisect the angles of triangle $ABC$. These bisectors meet at $O$. $\angle OBP = 31^\circ$, $\angle OCQ = 22^\circ$ and $\angle OAQ = 37^\circ$.
(a)[1]

Calculate $\angle POC$.

(b)[1]

In the diagram, shade the region containing the points closer to $AB$ than $AC$ and closer to $CA$ than $CB$.

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: The value is $59^\circ$.

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