6. (a) What is the minimum interior angle possible for a regular polygon? Why?

Consider a polygon with lowest number of sides i.e. 3.

Sum of interior angles of 3 sided polygon = $\left ( 3-2 \right )\ast 180\degree=180\degree$

Interior angles of regular polygon are equal = A .

$\therefore$                     $A+A+A=180\degree$

$3\ast A=180\degree$

$A=60\degree$

Hence,the minimum interior angle possible for a regular polygon is $60\degree$.

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