Question

Please answer the question

Answer 1

Answer: 90

Step-by-step explanation:

Use Euler's formula which states:

in any spherical polyhedron, the number of vertices, v, minus the number of edges, e, plus the number of faces, f, equals 2:

Apply Euler’s formula to a polyhedron consisting of b black pentagons and w white hexagons. The total number f of faces is b + w. In all, the pentagons have 5b edges, because there are 5 edges per pentagon and b pentagons in all. Similarly, the hexagons have a total of 6w edges. Adding these two numbers should give the total number of edges—except that we will have counted each edge twice because each edge lies in two different faces. To compensate divide by 2, and hence the number of edges is:

e = (1/2 )(5b + 6w)

=(1/2) (5x12 +6x20)

I/2 (60 +120)

1/2 (180) = 90