Pentagon angles

The sum of the interior angles of a polygon with n sides is 180 x (n -2) or, in this case, 180 x 3 = 540. There are five interior angles. Let us assume merely that the angles are consecutive even or consecutive odd integers and see which turns out to be the case.

Let x = the smallest interior angle, and state the condition that their sum = 540.

x + (x +2) + (x+4) + (x+6) + (x+8) = 540.

Summing up the terms on the left, we get:
5x + 20 = 540.
5x = 520
x = 104

The interior angels are, therefore, 104, 106, 108, 110, 112.

112 is the correct answer.