The sum of the interior angles of any convex polygon can be calculated using the formula:
Sum of interior angles = (n – 2) * 180°
Here, n represents the number of sides of the polygon. In the case of a convex 10-sided polygon,
we plug in n = 10:
Sum of interior angles = (10 – 2) * 180° = 8 * 180° = 1440°
Thus, the sum of the angles in a convex 10-sided polygon is 1440 degrees.
This means that if you take all the angles inside a convex decagon (the name for a 10-sided polygon) and add them up, you’ll get a total of 1440 degrees. This property holds true for any convex polygon, making it a useful tool for geometry enthusiasts and professionals alike!