The geometric pattern below shows a regular hexagon and equilateral triangle inside a circle. All their vertices

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The geometric pattern below shows a regular hexagon and equilateral triangle inside a circle. All their vertices are on the circumference of the circle. The regular hexagon and equilateral triangle have the common points X, Y and Z. 

a. How many lines of symmetry does the pattern have? 

b. What is the order of rotational symmetry of the pattern?

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