You can find out how many angles are in a shape by counting how many edges a shape has.
for instance..
a square has 4 edges so it has 4 angles
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A shape does not have a sum. You can sum its angles, the lengths of its sides, the areas of its faces and so on. But the shape does not have a sum, in itself.
Two.
A cone has no acute angles because a cone is a 3D shape and not a 2D.
Simple, by finding how many traingles there are in the shape through this formula 180(n-2). N stand for how many interior angles. Knowing how many triangles you can multiply it by 180 giving you the total degrees in the shape. Keep in mind this is only for a REGULAR hepatagon. Knowing the sum of the angles u can divide it by the total amount of angles and get the measure for each interior angle. This sounds confusing but it really isn't.