Copyright © University of Cambridge. All rights reserved.

'Two Exterior Triangles' printed from

Show menu

See all short problems arranged by curriculum topic in the short problems collection

A square is labelled clockwise $ABCD$. $P$ and $Q$ are points outside the square such that triangles $ABP$ and $BCQ$ are both equilateral.

How big is angle $PQB$?


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.



This problem is taken from the UKMT Mathematical Challenges.