CEMC Fermat, 2005

Geometry Difficulty 1.0 Junior Find the answer Canada

In triangle $ABC$ , $\angle A$ is $21^\circ$ more than $\angle B$ , and $\angle C$ is $36^\circ$ more than $\angle B$ . The size of $\angle B$ is

(A) $20^\circ$ (B) $41^\circ$ (C) $62^\circ$ (D) $46^\circ$ (E) $56^\circ$

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.