Step 1 :Let n be the number of sides in the polygon. In this case, n = 19.
Step 2 :To find the sum of the interior angles of a polygon, we can use the formula \((n-2) \times 180\).
Step 3 :Substitute n with 19: \((19-2) \times 180\).
Step 4 :Simplify the expression: \(17 \times 180\).
Step 5 :Calculate the sum: \(3060\).
Step 6 :\(\boxed{\text{a) The sum of the interior angles of a 19-sided polygon is 3060 degrees.}}\)
Step 7 :The sum of the exterior angles of any polygon is always 360 degrees.
Step 8 :\(\boxed{\text{b) The sum of the exterior angles of a 19-sided polygon is 360 degrees.}}\)