The figure below (not drawn to scale) shows part of a regular $n$-sided polygon where points $A$

Question

The figure below (not drawn to scale) shows part of a regular $n$-sided polygon where points $A$, $B$, $C$, $D$ and $E$ are five vertices of the polygon. $AB$ is produced to $G$ such that $BC=CG$ and $CDFG$ is a rhombus. Given that the interior angle of a regular $n$-sided polygon is $14$ times as large as its exterior angle, find angle $CBG$,[2] angle $DFG$.[4]

Accepted Answer

(i) $12^\circ$ (ii) $12^\circ$

2023 TJC IP1 FM EOY Q13

2023 TJC IP1 FM EOY Q13

Solution:

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