Question 23
Non-overlapping isosceles triangles share vertex O and an edge with each immediate neighbour. Their angles at O are m°,2 m°,3 m°, …, where m is a positive integer. The picture shows five triangles. What is the smallest possible m?
Diagram convention used for scoring: the triangles form a closed fan filling 360° around O, with the two sides from O equal in each triangle.

Diagram convention used for scoring: the triangles form a closed fan filling 360° around O, with the two sides from O equal in each triangle.
