# Sunday Afternoon Maths LXIII

**Posted on 2018-04-22**

## Is it equilateral?

Source: Chalkdust issue 07

In the diagram below, \(ABDC\) is a square. Angles \(ACE\) and \(BDE\) are both 75°.

Is triangle \(ABE\) equilateral? Why/why not?

## Cube multiples

Source: Radio 4's Puzzle for Today (set by Daniel Griller)

Six different (strictly) positive integers are written on the faces of a cube. The sum of the numbers on any two adjacent faces is a multiple of 6.

What is the smallest possible sum of the six numbers?

If you enjoyed these puzzles, check out Advent calendar 2019,

puzzles about algebra, or a random puzzle.

puzzles about algebra, or a random puzzle.