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Answer

1800∘1800^{\circ}

Step-by-step solution

3 steps

A) The sum of the interior angles of a polygon is given by the formula (n−2)×180(n-2) \times 180. Calculate the sum of the interior angles of a polygon with 12 sides.

  1. Identify the given formula and the number of sides.

    The formula for the sum of interior angles SS is:

    S=(n−2)×180∘S = (n-2) \times 180^{\circ}

    The number of sides nn is given as 12.

  2. Substitute the number of sides into the formula.

    S=(12−2)×180∘S = (12-2) \times 180^{\circ}
  3. Calculate the sum of the interior angles.

    S=(10)×180∘S = (10) \times 180^{\circ} S=1800∘S = 1800^{\circ}

    The sum of the interior angles of a polygon with 12 sides is 1800∘\boxed{1800^{\circ}}.

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