The sum of all the interior angles of a polygon with 19 sides can be calculated as: [tex]\mathbf{3,060^{\circ}}[/tex]
Recall:
- Sum of the degrees of all interior angles of an n-polygon can be calculated using the formula: (n - 2)180
- 19-gon is a polygon with 19 sides and angles.
Thus:
Sum of the interior angles of the 19-gon would be:
[tex](n - 2)180[/tex]
- Substitute n = 19 into the formula
[tex]\mathbf{(19 - 2) \times 180 = 3,060^{\circ}}[/tex]
Therefore, the sum of all the interior angles of a polygon with 19 sides can be calculated as: [tex]\mathbf{3,060^{\circ}}[/tex]
Learn more here:
https://brainly.com/question/3490884
