Library / /139 of 146

, 2018

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

How many pairs of numbers $(m,n)$ are there such that the following statement is true? 'A regular $m$ -sided polygon has an exterior angle of size $n°$ and a regular $n$ -sided polygon has an exterior angle of size $m°$ .'

(A) $24$ (B) $22$ (C) $20$ (D) $18$ (E) $16$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.