The sum of the interior angles in a convex polygon can be calculated using the formula:
Sum of interior angles = (n – 2) × 180°
where n is the number of sides in the polygon. For a convex polygon with 10 sides:
Sum of interior angles = (10 – 2) × 180° = 8 × 180° = 1440°
Thus, the sum of the angles in a convex 10-sided polygon is 1440°.