A) give the vertex set.
(b) give the edge list

A) The total 6 vertices namely are: A, B , C , X , Y and Z

B)The total 6 edges  namely are: AX, BY , CZ , AZ , BC and XY.

Step-by-step explanation:

The Vertex : Vertex of any figure is defined as the point where two or more edges meet.

Here, the given figure has total 6 vertices .

They namely are: A, B , C , X , Y and Z

Edges: An edge is defined as a line segment between any two pair of given vertices.

Here, the given figure has total 6 edges .

They namely are: AX, BY , CZ , AZ , BC and XY.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47