CEMC Fermat, 2008

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, the six small squares all have side length $2$ . Lines are drawn from $O$ to $P$ and $O$ to $Q$ . The measure of $\angle POQ$ in degrees, accurate to one decimal place, is

(A) $15.0$ (B) $25.5$ (C) $26.6$ (D) $22.5$ (E) $30.0$

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.