Question

what did Lamarck's and Darwin's hypothesis about evolution have in common?

Answer 1

Lamarck believed that organisms could acquire characteristics during their lifetime that they could pass down to their offspring, but Darwin did not believe

Answer 2

wait i said common not difference i don't get it

Answer 3

Lamarck recognized that animals are not fixed entities because he noticed they have traits that help them cope with their environment. So he recognized that species change just like Darwin. But Lamarck thought that organisms undergo changes within their own lifetime, and that such "acquired characteristics" would then be passed to their offspring.
The classic example is the giraffe: he supposed that a giraffe might increase its neck length by some amount as it stretched for food in tree branches, and that the change would happen in its lifetime. Those acquired traits would then be passed to the subsequent generation, which would then have a longer neck than the previous generation.

Darwin proved him wrong by stating that the whole species adapts through natural selection. So individual change does not affect the species. Darwin also recognized different species could have common ancestors.
In the giraffe example, Darwin recognized different giraffes had different neck lengths. In places where trees are taller, the longer necked giraffes eat a little more. This will have a slightly higher survival rate and therefore a higher matting rate. So their characteristics will be passed on to the next generation. here is difference and similarities i read the question wrong