Answer: 5,400
Explanation:
In a triangle, the sum of angles is is 180. In a quadrilateral, the sum of angles is 360. In a pentagon, the sum of angles is 540. We can see that as the every time the number of sides increases by 1, the interior angle sum increases by 180.
Let's subtract the given amount of sides by the amount of sides in a triangle to see how many sides it has increased by.
32 - 3 = 29.
Now we multiply the increase in sides by 180 to get how much the interior angle sum has increased.
29 * 180 = 5220.
Finally add back the sum of angles in a triangle.
5220 + 180 = 5,400.