Maths Olympiad Prep

Library / UKMT Pink Kangaroo /84 of 220

UKMT Pink Kangaroo, 2021

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Five line segments are drawn inside a rectangle as shown. What is the sum of the six marked angles?

(A) 360∘360^\circ (B) 720∘720^\circ (C) 900∘900^\circ (D) 1080∘1080^\circ (E) 1120∘1120^\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: 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.