Sunday Times Teaser 3056 – Rose Garden
by Andrew Skidmore
Published Sunday April 18 2021 (link)
The six rose bushes in my garden lie on a circle. When they were very small, I measured the six internal angles of the hexagon that the bushes form. These were three-digit whole numbers of degrees. In a list of them, of the ten digits from 0 to 9, only one digit is used more than once and only one digit is not used at all. Further examination of the list reveals that it contains a perfect power and two prime numbers.
In degrees, what were the smallest and largest angles?