Question

Which supports the idea that birds and butterflies both have wings but they do not have a common ancestor with wings?

The wings are analogous structures that evolved differently and do not have a similar internal structure.
The wings are homologous structures that evolved differently and do not have a similar internal structure.
Wings of birds are vestigial structures, but the wing structures of bats are not vestigial.
Wings of bats are vestigial structures, but the wing structures of birds are not vestigial.

Answer 1

"The wings are analogous structures that evolved differently and do not have a similar internal structure."

Explanation: analogous structures arise by convergent evolution (similar function but different evolutionary origin). Bird wings are modified forelimbs with bones and feathers (vertebrate origin); butterfly wings are outgrowths of the insect exoskeleton (arthropod origin), so they do not share a winged common ancestor.