Library / UKMT Junior Kangaroo /100 of 243

UKMT Junior Kangaroo, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

One angle of an isosceles triangle is $30^\circ$ . Which of the following could be the difference between the other two angles?

(A) $30^\circ$ (B) $60^\circ$ (C) $70^\circ$ (D) $80^\circ$ (E) $90^\circ$

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: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.