Solution
Sum of all angles of the hexagon = $$(n - 2) * 180^{\circ}$$
= (6-2)*180° = 720°
=> Each interior angle = $$\frac{720^{\circ}}{6}$$ = 120°
Since, AB = BC
=> $$\angle$$BAC = $$\angle$$ACB = 30°
=> $$\angle$$ACE = $$\angle$$CEA = $$\angle$$EAC = 60°
=> AC = CE = EA
=> $$\triangle$$ACE is an equilateral triangle.
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