Question

What is the sum of the measures of the interior angles of the decagon?

Answer 1

Given parameters:

Number of sides of the regular body  = 10

      A decagon has 10 sides.

Unknown:

Sum of the measures of the interior angles = ?

Solution;

 To find the sum of the interior angles of a decagon; use the expression below:

             Sum of interior angles  =  (n - 2) x 180

where;

  n = number of sides;

So,

         Sum of interior angles  = (10 - 2) x 180 = 1440°

The sum of interior angle of a decagon is 1440°