The diagram shows a regular pentagon, $ABCDE$, and three of the sides, $GC$, $CB$ and $BF$,

Question

The diagram shows a regular pentagon, $ABCDE$, and three of the sides, $GC$, $CB$ and $BF$, of a second polygon. Angle $ABF=100^\circ$ and angle $CDE=108^\circ$. Explain why the second polygon is not a regular polygon.[3]

Accepted Answer

It would require a non-integer number of sides.

2025 DSS PRELIMS P1 Q17

2025 DSS PRELIMS P1 Q17

Solution:

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