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Problem 166

Geometry Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2024

In the diagram, $\angle PQR$ is a straight angle.The value of $x$ is

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Official solution

Since $\angle PQR$ is a straight angle, its measure is $180\degree$ . Thus, the angles with measures $146\degree$ and $x\degree$ add to $180\degree$ , and so the value of $x$ is $180-146=34$ .

Figure for this problem

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