Any regular polygon with more than 4 sides.

Polygons with more than 4 sides don't have to be regular to have all obtuse angles. The number of degrees in an average angle of an n-sided polygon will be

(n-2)*180/n

That number will be greater than 90 degrees when

(n-2)*180/n > 90

180n - 360 > 90n (multiply by n)

90n > 360 (add 360-90n)

n > 4 (divide by 90)

Any polygon with 5 or more sides can be drawn so that it has all obtuse angles.

Many 3-dimensional shapes have all obtuse angles, a dodecahedron for example.

Polygons with more than 4 sides don't have to be regular to have all obtuse angles. The number of degrees in an average angle of an n-sided polygon will be

(n-2)*180/n

That number will be greater than 90 degrees when

(n-2)*180/n > 90

180n - 360 > 90n (multiply by n)

90n > 360 (add 360-90n)

n > 4 (divide by 90)

Any polygon with 5 or more sides can be drawn so that it has all obtuse angles.

Many 3-dimensional shapes have all obtuse angles, a dodecahedron for example.