Polygons

In the figure below, the surface of a modern football is made of 20 white hexagons and \(x\) black pentagons, where each pentagon is surrounded by 5 hexagons and each hexagon is surrounded by 3 pentagons.

1. Find the value of \(x\).
2. Find the number of vertices on a football, i.e., the number of points where the angles of black pentagons meet with the angles of white hexagons.

For the football pattern shown, exactly one pentagon and two hexagons meet at every vertex.