Grades 11-12 Video Solutions 2022-2022_11-12

Video Transcription

Video Summary

The vertices of a 20-gon are numbered from 1 to 20 such that adjacent vertices differ by 1 or 2. To determine the number of red sides, where the ends differ by only 1, the formation is analyzed: the sequence between each vertex must include the possibilities that differ by either 1 or 2. By progressively exploring these constraints, starting from vertex 1, it's deduced that the correct numeric sequence around the 20-gon allows for only two red sides (where vertices differ by exactly one). Thus, the number of red sides in the described 20-gon is two.

Keywords

20-gon

vertices

adjacent

red sides

sequence