Library / /44 of 61

, 2016

Geometry Difficulty 3.0 AMC 10/12 Prove it United Kingdom

In a certain triangle, the size of each of the angles is a whole number of degrees. Also, one angle is $30°$ larger than the average of the other two angles. What is the largest possible size of an angle in this triangle?

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.