Mathematics 4024 · O Level · Angles

Angles — practice question

The figure shows equilateral triangle $B$ together with part of regular polygon $A$, and they share one side. The interior angle of polygon $A$ is $165^\f$.
(a(i))[1]

Find $y$.

(a(ii))[2]

Calculate how many sides polygon $A$ has.

(b(i))[3]

Show that angle $OAC = (90 - x)^\f$. Give your reasons for the answer.

(b(ii))[2]

Given angle $BAO = 54^\f$ and angle $OCB = 11^\f$, find the value of $x$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: The angle is $135^\circ$.

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