Library / CEMC Gauss (Grade 7) /367 of 462

CEMC Gauss (Grade 7), 2026

Geometry Difficulty 2.2 Junior Find the answer Canada

In the diagram, $\angle PQR$ is a straight angle.

The value of $x$ is

Pick one

Solution

Since $\angle PQR$ is a
straight angle, its measure is $180\degree$ . Thus, the angles with
measures $40\degree$ and $x\degree$ have a sum of $180\degree$ , or $40+x=180$ and so $x=180-40=140$ .

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.