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Problem 294

Geometry Difficulty 2.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2026

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

The value of $x$ is

Pick one

Official 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 $x=180-40=140$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.