In the figure below, $ABCDEF$ and $AGHIJB$ are regular hexagons, where $AB$ is the common side

Question

In the figure below, $ABCDEF$ and $AGHIJB$ are regular hexagons, where $AB$ is the common side. Find the sizes of angle $BCD$, angle $AGB$, angle $AFD$, angle $BDF$. Hence determine the type of quadrilateral $BGFD$, stating your reasons clearly.

Accepted Answer

(a) $\angle BCD=120^\circ$ (b) $\angle AGB=30^\circ$ (c) $\angle AFD=90^\circ$ (d) $\angle BDF=60^\circ$ (e) $BGFD$ is a rhombus

Polygons

Polygons

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