Answers:
dodecagon: 1800
20-gon: 3600
29-gon: 4860
32-gon: 5400
Step-by-step explanation:
The sum of the measures of the interior angles can be calculated as:
(n - 2)·180
Where n is the number of sides of the polygon.
So, if a dodecagon has 12 sides, the sum of the measures of the interior angles are:
(12 - 2)·180 = (10)·180 = 1800
In, the same way, the sum of the measures of the interior angles of each polygon is:
20-gon: (20 - 2)·180 = 20·180 = 3600
29-gon: (29 - 2)·180 = 27·180 = 4860
32-gon: (32 - 2)·180 = 30·180 = 5400
Therefore, the answers are:
dodecagon: 1800
20-gon: 3600
29-gon: 4860
32-gon: 5400