IP1U12 HOT Q3

The surface of a modern football is made of \(20\) white hexagons and \(x\) black pentagons, where each pentagon is surrounded by \(5\) hexagons.

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.

Editorial clarification of the intended football pattern: each hexagon borders exactly three pentagons, and exactly one pentagon and two hexagons meet at every vertex.