MATH/CSCI Graph Theory Help:) Thank you for helping me I appreciate it, will definitely upvote the correct solution! Please read the question carefully and answer it fully! If you handwrite the solution, please be as legible as possible:) take care and have.a great day!! For part b, please clearly display the drawn graph with the labeled degree of vertices please.

(a) ( 30 points) Let T be a tree with 3 vertices of degree 5 and the remaining x vertices all have degree 1. Use algebra to find x and prove that your answer is correct. Your solution should be coherent and precise. Do not leave out any details whatsoever. Write complete sentences. Lack of clarity and precision will result in point deductions. (b) (10 points) Draw a graph that satisfies the degree sequence in part (a). Clearly label the degree of each vertex