Library / CEMC Gauss (Grade 8) /55 of 525

CEMC Gauss (Grade 8), 2008

Geometry Difficulty 1.0 Junior Find the answer Canada

In the diagram, $RSP$ is a straight line and $\angle QSP = 80^\circ$ . The measure of $\angle PQR$ is

(A) $120^\circ$ (B) $90^\circ$ (C) $80^\circ$ (D) $60^\circ$ (E) $75^\circ$

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.