I should've been more specific. The question asks "do shapes NOT have angles?" That's completely on me sorry lol.
The answer is no. The explanation of it is relatively simple if you get past the terminology. For example, think of a cube. That's our n dimensional object with n = 3. Its square faces are n-1 dimensional objects. Now, take a paper arrow and glue one of them to the center of every face. Can they all point to the same direction? Hell no. If you make the 4 arrows in the equator point up, you still never can make the arrows on the top face nor the bottom face point up. And that's why the answer is no. Any questions? Yes? Ask them to wolfy, this is his thread.