How how many carbon and hydrogen atoms would be contained within this molecule?

Answer:
The answer to your question is this structure has 5 carbons and 10 hydrogens.
Explanation:
Carbons are the number of edges of the figure.
This is a pentagon it has 5 edges so it has 5 carbons. See the picture below
Number of hydrogens
All the carbons have 2 carbons so, 5 carbons x 2 hydrogens = 10 hydrogens