Today Puzzle #782
Puzzle No. 782鈥� Tuesday 14 July
In a triangle the difference, in degrees, between the largest angle and the middle angle is the same as the difference between the middle angle and the smallest angle. What is the middle angle in degrees?
Today’s #PuzzleForToday has been set by the UK Mathematics Trust (https://www.ukmt.org.uk/), a charity based at the University of Leeds whose aim is to advance the education of young people in mathematics, primarily through the organisation and running of national mathematics competitions.
Click here for the answer
60 degrees. Suppose the angles are a°, b° and c°, where a > b > c. Then and so . Hence . Since the sum of the angles of a triangle is 180°, it follows that and hence b = 60.
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