Once people can view the issue and situation both from their own perspective and the other persons' perspectives, they can more easily find mutually beneficial solutions. Perspective-taking also communicates that one really understands their thoughts, feelings, and needs. I hope this helps :)
It is important to look at topics from multiple perspectives so that we are able to see the whole picture, which better enables us to find the root cause of the problem and discover a solution that takes the needs and feelings of everyone involved into consideration.