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Problem 140

Geometry Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2013

If $PQ$ is a straight line segment, then the value of $x$ is

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Official solution

Since $PQ$ is a straight line segment, the three angles given sum to $180\degree$ . That is, $90\degree+x\degree+20\degree=180\degree$ or $x\degree=180\degree-90\degree-20\degree$ or $x=70$ .

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