Maths Olympiad Prep

Library / CEMC Gauss (Grade 8) /372 of 525

CEMC Gauss (Grade 8), 2007

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, AD=BD=CDAD = BD = CD and ∠BCA=40∘\angle BCA = 40^\circ. The size of ∠BAC\angle BAC is

(A) 80∘80^\circ (B) 120∘120^\circ (C) 60∘60^\circ (D) 90∘90^\circ (E) 100∘100^\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.