The angle sum of all interior angles of a convex polygon of sides 7 is

$\text{Sum of interior angles} = (n - 2) \times 180^{\circ}$

Given that the number of sides ($n$) is 7:

$\text{Sum of interior angles} = (7 - 2) \times 180^{\circ}$

$\text{Sum of interior angles} = 5 \times 180^{\circ} = 900^{\circ}$