Question 40
a) Explain why there is no heptagon such that all its sides have the same length and its angles measure, exactly in this order, $120^\circ$, $150^\circ$, $120^\circ$, $120^\circ$, $120^\circ$, $150^\circ$ and $120^\circ$.
b) Justify why there is some heptagon such that all its sides have the same length and its angles measure, exactly in this order, $108^\circ$, $168^\circ$, $108^\circ$, $132^\circ$, $108^\circ$, $168^\circ$ and $108^\circ$.
b) Justify why there is some heptagon such that all its sides have the same length and its angles measure, exactly in this order, $108^\circ$, $168^\circ$, $108^\circ$, $132^\circ$, $108^\circ$, $168^\circ$ and $108^\circ$.